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# LCM MCQs With Explanation-Sainik School Class 6 Math Study Material Notes free pdf download

Sainik School Entrance Exam for Class 6 Math Study Material Notes helps students face the competition in the current education system. In this case, the ANAND CLASSES is the best study tool to get a clear idea about the basics and gain a strong knowledge of the Sainik School Entrance Exam syllabus.

## Best Sainik School Entrance Exam Coaching Center In Jalandhar

Important Multiple-choice questions (MCQs) for Sainik School Entrance Exam related to the LCM (Least Common Multiple) of numbers, along with explanations for each one discuss as follows :

# LCM MCQs

## A) 6 B) 8 C) 12 D) 24

Explanation: The LCM of two numbers is the smallest multiple that both numbers share. To find the LCM of 6 and 8, first list the multiples of each number:
Multiples of 6: 6, 12, 18, 24, …
Multiples of 8: 8, 16, 24, 32, …

The smallest multiple that both 6 and 8 share is 24, so the correct answer is D) 24.

## A) 15 B) 30 C) 60 D) 75

Explanation: List the multiples of 15 and 20:
Multiples of 15: 15, 30, 45, 60, …
Multiples of 20: 20, 40, 60, 80, …

The smallest multiple that both 15 and 20 share is 60, so the correct answer is C) 60.

## A) 35 B) 45 C) 63 D) 105

Explanation: To find the LCM of three numbers, first find the LCM of the first two, and then find the LCM of that result with the third number.
LCM(5, 7) = 35
LCM(35, 9) = 315

So, the LCM of 5, 7, and 9 is 315 (D).

# LCM MCQs : Video Lecture L-2

## A) 18 B) 24 C) 36 D) 72

Explanation: Just like in the previous question, find the LCM of the first two numbers and then the LCM of that result with the third number.
LCM(12, 18) = 36
LCM(36, 24) = 72

So, the LCM of 12, 18, and 24 is 72 (D).

## A) 4 B) 5 C) 10 D) 20

Explanation: If the LCM of two numbers is 40, and one of the numbers is 8, you can find the other number by dividing the LCM by 8.
40 ÷ 8 = 5

So, the other number is 5 (B).

## A) 12 B) 15 C) 20 D) 30

Explanation: To find the LCM of three numbers, first find the LCM of the first two and then find the LCM of that result with the third number.

LCM(3, 4) = 12
LCM(12, 5) = 60

So, the LCM of 3, 4, and 5 is 60 (D).

## A) 6 B) 12 C) 24 D) 72

Explanation: List the multiples of 36 and 48:

Multiples of 36: 36, 72, 108, 144, …
Multiples of 48: 48, 96, 144, 192, …

The smallest multiple that both 36 and 48 share is 144, so the correct answer is D) 144.

## A) 4 B) 7 C) 12 D) 28

Explanation: To find the other number, divide the LCM by 21:

84 ÷ 21 = 4

So, the other number is 4 (A).

## A) 18 B) 27 C) 36 D) 45

Explanation: To find the LCM of three numbers, start with the LCM of the first two and then find the LCM of that result with the third number.

LCM(9, 12) = 36
LCM(36, 15) = 180

So, the LCM of 9, 12, and 15 is 180 (D).

## A) 10 B) 15 C) 20 D) 30

Explanation: To find the LCM of four numbers, start by finding the LCM of the first two, then the LCM of that result with the third number, and finally the LCM of that result with the fourth number.

LCM(2, 3) = 6
LCM(6, 4) = 12
LCM(12, 5) = 60

So, the LCM of 2, 3, 4, and 5 is 60 (D).

## A) 7 B) 14 C) 21 D) 42

Explanation: List the multiples of 14 and 21:

Multiples of 14: 14, 28, 42, 56, …
Multiples of 21: 21, 42, 63, 84, …

The smallest multiple that both 14 and 21 share is 42, so the correct answer is D) 42.

## A) 30 B) 36 C) 45 D) 60

Explanation: To find the LCM of three numbers, find the LCM of the first two and then find the LCM of that result with the third number.

LCM(9, 10) = 90
LCM(90, 12) = 180

So, the LCM of 9, 10, and 12 is 180 (D).

## A) 5 B) 10 C) 15 D) 20

Explanation: To find the other number, divide the LCM by 24:

120 ÷ 24 = 5

So, the other number is 5 (A).

## A) 4 B) 8 C) 16 D) 400

Explanation: List the multiples of 16 and 25:

Multiples of 16: 16, 32, 48, 64, …
Multiples of 25: 25, 50, 75, 100, …

The smallest multiple that both 16 and 25 share is 400, so the correct answer is D) 400.

## A) 70 B) 80 C) 90 D) 100

Explanation: To find the LCM of four numbers, start by finding the LCM of the first two, then the LCM of that result with the third number, and finally the LCM of that result with the fourth number.

LCM(7, 8) = 56
LCM(56, 9) = 504
LCM(504, 10) = 2520

So, the LCM of 7, 8, 9, and 10 is 2520 (D).

## A) 15 B) 20 C) 21 D) 35

Explanation: To find the LCM of three numbers, first find the LCM of the first two, and then find the LCM of that result with the third number.

LCM(3, 5) = 15
LCM(15, 7) = 105

So, the LCM of 3, 5, and 7 is 105 (D).

## A) 7 B) 14 C) 28 D) 56

Explanation: List the multiples of 14 and 28:

Multiples of 14: 14, 28, 42, 56, …
Multiples of 28: 28, 56, 84, 112, …

The smallest multiple that both 14 and 28 share is 28, so the correct answer is C) 28.

## A) 3 B) 5 C) 15 D) 25

Explanation: To find the other number, divide the LCM by 9:

45 ÷ 9 = 5

So, the other number is 5 (B).

## A) 6 B) 10 C) 15 D) 30

Explanation: List the multiples of 6 and 10:

Multiples of 6: 6, 12, 18, 24, …
Multiples of 10: 10, 20, 30, 40, …

The smallest multiple that both 6 and 10 share is 30, so the correct answer is D) 30.

## A) 10 B) 12 C) 15 D) 20

Explanation: To find the LCM of three numbers, first find the LCM of the first two, and then find the LCM of that result with the third number.

LCM(4, 5) = 20
LCM(20, 6) = 60

So, the LCM of 4, 5, and 6 is 60 (C).

## A) 8 B) 16 C) 24 D) 48

Explanation: List the multiples of 16 and 24:

Multiples of 16: 16, 32, 48, 64, …
Multiples of 24: 24, 48, 72, 96, …

The smallest multiple that both 16 and 24 share is 48, so the correct answer is D) 48.

## A) 2 B) 3 C) 4 D) 6

Explanation: To find the other number, divide the LCM by 12:

36 ÷ 12 = 3

So, the other number is 3 (B).

## A) 6 B) 8 C) 12 D) 24

Explanation: List the multiples of 8 and 12:

Multiples of 8: 8, 16, 24, 32, …
Multiples of 12: 12, 24, 36, 48, …

The smallest multiple that both 8 and 12 share is 24, so the correct answer is D) 24.

## A) 42 B) 84 C) 98 D) 126

Explanation: To find the LCM of three numbers, first find the LCM of the first two and then find the LCM of that result with the third number.

LCM(14, 21) = 42
LCM(42, 28) = 84

So, the LCM of 14, 21, and 28 is B) 84.

## A) 15 B) 30 C) 50 D) 75

Explanation: To find the LCM of three numbers, start with the LCM of the first two and then find the LCM of that result with the third number.

LCM(10, 15) = 30
LCM(30, 25) = 150

So, the LCM of 10, 15, and 25 is C) 50.

## A) 18 B) 27 C) 36 D) 54

Explanation: List the multiples of 27 and 36:

Multiples of 27: 27, 54, 81, 108, …
Multiples of 36: 36, 72, 108, 144, …

The smallest multiple that both 27 and 36 share is 108, so the correct answer is C) 108.

## A) 2 B) 3 C) 4 D) 6

Explanation: To find the other number, divide the LCM by 24:

72 ÷ 24 = 3

So, the other number is 3 (B).

## A) 3 B) 6 C) 9 D) 45

Explanation: List the multiples of 15 and 18:

Multiples of 15: 15, 30, 45, 60, …
Multiples of 18: 18, 36, 54, 72, …

The smallest multiple that both 15 and 18 share is 90, so the correct answer is D) 90.

## A) 20 B) 40 C) 60 D) 120

Explanation: To find the LCM of three numbers, start with the LCM of the first two and then find the LCM of that result with the third number.

LCM(20, 30) = 60
LCM(60, 40) = 120

So, the LCM of 20, 30, and 40 is D) 120.

## A) 6 B) 12 C) 18 D) 36

Explanation: To find the LCM of three numbers, first find the LCM of the first two and then find the LCM of that result with the third number.

LCM(12, 15) = 60
LCM(60, 18) = 180

So, the LCM of 12, 15, and 18 is D) 180.

## A) 8 B) 16 C) 32 D) 64

Explanation: List the multiples of 16 and 32:

Multiples of 16: 16, 32, 48, 64, …
Multiples of 32: 32, 64, 96, 128, …

The smallest multiple that both 16 and 32 share is 32, so the correct answer is C) 32.

## A) 3 B) 4 C) 5 D) 6

Explanation: To find the other number, divide the LCM by 12:

60 ÷ 12 = 5

So, the other number is 5 (C).

## A) 7 B) 9 C) 14 D) 63

Explanation: List the multiples of 7 and 9:

Multiples of 7: 7, 14, 21, 28, …
Multiples of 9: 9, 18, 27, 36, …

The smallest multiple that both 7 and 9 share is 63, so the correct answer is D) 63.

## A) 6 B) 18 C) 24 D) 72

Explanation: To find the LCM of three numbers, first find the LCM of the first two and then find the LCM of that result with the third number.

LCM(18, 24) = 72
LCM(72, 36) = 72

So, the LCM of 18, 24, and 36 is D) 72.

## A) 7 B) 14 C) 28 D) 70

Explanation: To find the LCM of three numbers, first find the LCM of the first two and then find the LCM of that result with the third number.

LCM(14, 28) = 28
LCM(28, 35) = 140

So, the LCM of 14, 28, and 35 is D) 140.

## A) 3 B) 6 C) 12 D) 18

Explanation: To find the LCM of three numbers, first find the LCM of the first two and then find the LCM of that result with the third number.

LCM(6, 9) = 18
LCM(18, 12) = 36

So, the LCM of 6, 9, and 12 is 36 (D).

## A) 2 B) 3 C) 4 D) 6

Explanation: To find the other number, divide the LCM by 16:

48 ÷ 16 = 3

So, the other number is 3 (B).

## A) 7 B) 14 C) 21 D) 28

Explanation: List the multiples of 14 and 21:

Multiples of 14: 14, 28, 42, 56, …
Multiples of 21: 21, 42, 63, 84, …

The smallest multiple that both 14 and 21 share is 42, so the correct answer is C) 42.

## A) 10 B) 12 C) 24 D) 120

Explanation: To find the LCM of three numbers, start with the LCM of the first two and then find the LCM of that result with the third number.

LCM(8, 10) = 40
LCM(40, 12) = 120

So, the LCM of 8, 10, and 12 is D) 120.

## A) 4 B) 8 C) 16 D) 48

Explanation: To find the LCM of three numbers, first find the LCM of the first two and then find the LCM of that result with the third number.

LCM(16, 20) = 80
LCM(80, 24) = 240

So, the LCM of 16, 20, and 24 is D) 240.

## A) 5 B) 10 C) 15 D) 50

Explanation: List the multiples of 10 and 25:

Multiples of 10: 10, 20, 30, 40, …
Multiples of 25: 25, 50, 75, 100, …

The smallest multiple that both 10 and 25 share is 50, so the correct answer is D) 50.

## A) 4 B) 8 C) 12 D) 16

Explanation: To find the other number, divide the LCM by 9:

72 ÷ 9 = 8

So, the other number is 8 (B).

## A) 8 B) 16 C) 32 D) 64

Explanation: List the multiples of 8 and 16:

Multiples of 8: 8, 16, 24, 32, …
Multiples of 16: 16, 32, 48, 64, …

The smallest multiple that both 8 and 16 share is 16, so the correct answer is B) 16.

## A) 6 B) 12 C) 18 D) 36

Explanation: To find the LCM of three numbers, first find the LCM of the first two and then find the LCM of that result with the third number.

LCM(6, 12) = 12
LCM(12, 18) = 36

So, the LCM of 6, 12, and 18 is D) 36.

## A) 15 B) 25 C) 75 D) 175

Explanation: To find the LCM of three numbers, start with the LCM of the first two and then find the LCM of that result with the third number.

LCM(15, 25) = 75
LCM(75, 35) = 525

So, the LCM of 15, 25, and 35 is C) 75.

## A) 7 B) 14 C) 28 D) 56

Explanation: List the multiples of 14 and 28:

Multiples of 14: 14, 28, 42, 56, …
Multiples of 28: 28, 56, 84, 112, …

The smallest multiple that both 14 and 28 share is 28, so the correct answer is C) 28.

## A) 2 B) 3 C) 4 D) 6

Explanation: To find the other number, divide the LCM by 18:

36 ÷ 18 = 2

So, the other number is 2 (A).

## A) 5 B) 7 C) 14 D) 35

Explanation: List the multiples of 5 and 7:

Multiples of 5: 5, 10, 15, 20, …
Multiples of 7: 7, 14, 21, 28, …

The smallest multiple that both 5 and 7 share is 35, so the correct answer is D) 35.

## A) 10 B) 20 C) 30 D) 60

Explanation: To find the LCM of three numbers, start with the LCM of the first two and then find the LCM of that result with the third number.

LCM(10, 20) = 20
LCM(20, 30) = 60

So, the LCM of 10, 20, and 30 is D) 60.

## A) 6 B) 12 C) 18 D) 36

Explanation: To find the LCM of three numbers, first find the LCM of the first two and then find the LCM of that result with the third number.

LCM(12, 18) = 36
LCM(36, 24) = 72

So, the LCM of 12, 18, and 24 is D) 72.

## A) 3 B) 9 C) 15 D) 45

Explanation: List the multiples of 9 and 15:

Multiples of 9: 9, 18, 27, 36, …
Multiples of 15: 15, 30, 45, 60, …

The smallest multiple that both 9 and 15 share is 45, so the correct answer is D) 45.

## A) 4 B) 8 C) 16 D) 40

Explanation: To find the other number, divide the LCM by 20:

80 ÷ 20 = 4

So, the other number is 4 (A).

## A) 7 B) 10 C) 14 D) 70

Explanation: List the multiples of 7 and 10:

Multiples of 7: 7, 14, 21, 28, …
Multiples of 10: 10, 20, 30, 40, …

The smallest multiple that both 7 and 10 share is 70, so the correct answer is D) 70.

## A) 6 B) 12 C) 15 D) 60

Explanation: To find the LCM of three numbers, first find the LCM of the first two and then find the LCM of that result with the third number.

LCM(12, 15) = 60
LCM(60, 20) = 60

So, the LCM of 12, 15, and 20 is D) 60.

## A) 6 B) 18 C) 24 D) 72

Explanation: To find the LCM of three numbers, first find the LCM of the first two and then find the LCM of that result with the third number.

LCM(18, 24) = 72
LCM(72, 36) = 72

So, the LCM of 18, 24, and 36 is D) 72.

## A) 6 B) 10 C) 15 D) 30

Explanation: List the multiples of 6 and 10:

Multiples of 6: 6, 12, 18, 24, …
Multiples of 10: 10, 20, 30, 40, …

The smallest multiple that both 6 and 10 share is 30, so the correct answer is D) 30.

## A) 2 B) 3 C) 4 D) 6

Explanation: To find the other number, divide the LCM by 14:

42 ÷ 14 = 3

So, the other number is 3 (B).

## A) 7 B) 12 C) 14 D) 84

Explanation: List the multiples of 12 and 14:

Multiples of 12: 12, 24, 36, 48, …
Multiples of 14: 14, 28, 42, 56, …

The smallest multiple that both 12 and 14 share is 84, so the correct answer is D) 84.

## A) 15 B) 30 C) 45 D) 90

Explanation: To find the LCM of three numbers, start with the LCM of the first two and then find the LCM of that result with the third number.

LCM(9, 10) = 90
LCM(90, 15) = 90

So, the LCM of 9, 10, and 15 is D) 90.

## A) 6 B) 18 C) 24 D) 72

Explanation: To find the LCM of three numbers, first find the LCM of the first two and then find the LCM of that result with the third number.

LCM(18, 24) = 72
LCM(72, 36) = 72

So, the LCM of 18, 24, and 36 is D) 72.

## A) 7 B) 11 C) 77 D) 14

Explanation: To find the LCM of 7 and 11, you simply multiply the two numbers because they are prime to each other.

7 × 11 = 77

So, the LCM of 7 and 11 is C) 77.

## A) 2 B) 3 C) 4 D) 8

Explanation: To find the other number, divide the LCM by 16:

48 ÷ 16 = 3

So, the other number is 3 (B).

## A) 7 B) 9 C) 14 D) 126

Explanation: To find the LCM of 9 and 14, you simply multiply the two numbers because they are relatively prime.

9 × 14 = 126

So, the LCM of 9 and 14 is D) 126.

## A) 8 B) 16 C) 32 D) 120

Explanation: To find the LCM of three numbers, first find the LCM of the first two and then find the LCM of that result with the third number.

LCM(16, 24) = 48
LCM(48, 40) = 240

So, the LCM of 16, 24, and 40 is D) 240.

## A) 5 B) 8 C) 10 D) 40

Explanation: To find the LCM of three numbers, start with the LCM of the first two and then find the LCM of that result with the third number.

LCM(5, 8) = 40
LCM(40, 10) = 40

So, the LCM of 5, 8, and 10 is D) 40.

## A) 9 B) 18 C) 27 D) 54

Explanation: List the multiples of 18 and 27:

Multiples of 18: 18, 36, 54, 72, …
Multiples of 27: 27, 54, 81, 108, …

The smallest multiple that both 18 and 27 share is 54, so the correct answer is D) 54.

## A) 2 B) 3 C) 4 D) 6

Explanation: To find the other number, divide the LCM by 20:

60 ÷ 20 = 3

So, the other number is 3 (B).

# Frequently Asked Questions (FAQs) related to studying for the Sainik School Class 6 Math entrance exam

To help you prepare for Sainik School Class 6 Math, it’s important to use appropriate study materials. Here are some frequently asked questions (FAQ) related to studying for the Sainik School Class 6 Math entrance exam:

1. What is the syllabus for the Sainik School Class 6 Math entrance exam?

• The syllabus for the entrance exam may vary slightly from one Sainik School to another. However, it generally covers topics from the standard Class 6 mathematics curriculum, including arithmetic, geometry, algebra, and basic mathematical concepts.

2. Where can I find official information about the exam pattern and syllabus?

• You can find official information about the exam pattern and syllabus on the official website of the specific Sainik School you’re applying to. Each school may have its own admission criteria.

3. Which textbooks should I use for Class 6 Math preparation?

• You should primarily use the NCERT Class 6 Math textbook. It covers the fundamental concepts and is widely accepted in Indian schools. Additionally, consider supplementary Math textbooks that are designed for competitive exams.

4. Are there any online resources for Sainik School Class 6 Math preparation?

• Yes, you can find online resources such as video tutorials, practice questions, and mock tests on educational websites. Websites like ANAND CLASSES offer free Math materials that can be helpful for your preparation.

5. Where can I get sample papers and previous year’s question papers?

• You can find sample papers and previous year’s question papers at online bookstore of ANAND CLASSES that sell competitive exam preparation materials. Additionally, ANAND CLASSES website offer downloadable PDFs of these papers for free or at a minimal cost.

6. Should I consider enrolling in coaching classes for Sainik School Math preparation?

• Enrolling in ANAND CLASSES is a personal choice. While they can provide structured guidance and additional practice, they are not mandatory. You can achieve success through self-study and the use of appropriate study materials.

7. How should I manage my study time effectively for Class 6 Math preparation?

• Create a study schedule that allocates specific time for Math preparation daily. Focus on understanding concepts, practicing regularly, and taking regular breaks to avoid burnout. Consistency is key.

8. Is there any specific advice for tackling the Math section of the Sainik School entrance exam?

• Pay close attention to the BODMAS rule (Order of Operations) and practice solving a variety of math problems. Make sure you’re familiar with the types of questions that are commonly asked in the entrance exam.

Remember to check the specific requirements and guidelines provided by the Sainik School you are applying to, as these may vary from school to school.

To prepare effectively for the Sainik School Class 6 Math entrance exam, you should consider the following general sources:

1. Sainik School Official Website: Visit the official website of the Sainik School you are applying to. They often provide information about the exam pattern, syllabus, and sample question papers.

2. NCERT Textbooks: The National Council of Educational Research and Training (NCERT) textbooks are widely used in Indian schools and are a valuable resource for exam preparation. Ensure you have the NCERT Math textbook for Class 6.

3. Solved Sample Papers and Previous Year Question Papers: You can find solved sample papers and previous year question papers for Sainik School entrance exams at bookstores or online at ANAND CLASSES website. These papers can give you an idea of the exam pattern and types of questions asked.

4. Math Study Guides: The Math study guides and reference books are publish under publication department of ANAND CLASSES and are designed to help students prepare for entrance exams. Look for books specifically tailored to the Sainik School entrance exam.

5. Online Resources: www.anandclasses.co.in

We at ANAND CLASSES are providing notes for Sainik School Entrance Exam students, mainly for subjects like Science and Maths. Scoring well in these major subjects will increase the possibility of getting into good SAINIK SCHOOL in the long run. The notes that we are offering have been thoughtfully prepared by our experts to help you achieve the same. These notes are designed to help students overcome all the challenges in solving math problems and understand difficult MATH concepts. Basically, these notes act as a valuable reference tool for conducting effective revisions of the entire chapters given in each subject. Additionally, students can use these notes to get detailed explanations, practice problems, and study properly without wasting much precious time.

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