LCM Questions with Answers

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In this worksheet, we provide carefully designed lcm questions with answers to help students practice and understand the concept of Least Common Multiple. These problems are categorized into various sections to ensure a thorough understanding of different methods like listing multiples, division and prime factorization.

1. Find the LCM by Listing Multiples

  1. Find the LCM of 6 and 8.
  2. Find the LCM of 9, 12, and 18.
  3. Find the LCM of 14 and 21.
  4. Find the LCM of 5, 10, and 15.
  5. Find the LCM of 8, 16, and 20.

2. Find the LCM Using the Division Method

  1. Find the LCM of 24 and 36.
  2. Find the LCM of 40, 60, and 80.
  3. Find the LCM of 18 and 27.
  4. Find the LCM of 50, 75, and 100.
  5. Find the LCM of 28 and 42.

3. Find the LCM Using Prime Factorization Method

  1. Find the LCM of 12, 18, and 24.
  2. Find the LCM of 20, 25, and 30.
  3. Find the LCM of 32 and 48.
  4. Find the LCM of 45, 60, and 90.
  5. Find the LCM of 14, 28, and 35.

4. Word Problems on LCM

  1. Two traffic lights change at intervals of 30 seconds and 45 seconds. If they change together at 12:00 noon, when will they change together again?
  2. Three buses depart from a station at intervals of 20 minutes, 30 minutes, and 40 minutes. If they all leave at 8:00 AM, when will they leave together again?
  3. A school bell rings every 15 minutes and another bell rings every 25 minutes. If both rang together at 9:00 AM, when will they ring together again?
  4. Two gears rotate at intervals of 12 seconds and 18 seconds. After how many seconds will they align again?
  5. Three friends meet every 10, 15, and 20 days respectively. If they met on January 1st, when will they meet again?

5. Multiple Choice Questions (MCQs)

1. The LCM of 8 and 12 is:

(a) 16

(b) 24

(c) 36

(d) 48

2. The LCM of 15 and 20 is:

(a) 30

(b) 45

(c) 60

(d) 75

3. The LCM of 18, 24, and 36 is:

(a) 72

(b) 108

(c) 36

(d) 216

4. The LCM of 10 and 25 is:

(a) 50

(b) 100

(c) 25

(d) 75

5. The LCM of 7, 14, and 21 is:

(a) 42

(b) 84

(c) 28

(d) 21

Icm questions with answers | LCM Questions With Answers | LCM Questions

Answers to LCM Questions Worksheet

1. Listing Multiples

  1. 24
  2. 36
  3. 42
  4. 30
  5. 80

2. Division Method

  1. 72
  2. 240
  3. 54
  4. 300
  5. 84

3. Prime Factorization Method

  1. 72
  2. 300
  3. 96
  4. 180
  5. 140

4. Word Problems

  1. 90 seconds
  2. 240 minutes (4 hours)
  3. 225 minutes (3 hours 45 minutes)
  4. 36 seconds
  5. 60 days

5. MCQs

  1. (b) 24
  2. (c) 60
  3. (a) 72
  4. (a) 50
  5. (a) 42

This worksheet provides a comprehensive set of LCM questions with answers suitable for practice, homework and assessments. These problems will help students build their confidence and master the topic effectively.

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