LCM Questions for Class 7 Worksheet

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Welcome to this specially designed LCM questions for Class 7 worksheet. These questions are tailored to help students strengthen their understanding of Least Common Multiple (LCM) through different methods like listing multiples, prime factorization and division methods. Perfect for teachers, students and parents looking for effective LCM practice material.

Section A: Find the LCM by Listing Multiples

  1. Find the LCM of 6, 8, and 12.
  2. Find the LCM of 9 and 15.
  3. Find the LCM of 5, 10, and 25.
  4. Find the LCM of 7, 14, and 21.
  5. Find the LCM of 4, 6, and 9.

Section B: Find the LCM Using the Division Method

  1. Find the LCM of 18 and 24.
  2. Find the LCM of 15, 25, and 30.
  3. Find the LCM of 28 and 35.
  4. Find the LCM of 48, 60, and 72.
  5. Find the LCM of 20 and 36.

Section C: Solve the Word Problems

  1. Two bells ring at intervals of 6 minutes and 8 minutes. If both bells ring together at 10:00 AM, at what time will they ring together again?
  2. Riya takes a music class every 4 days, and her friend Suman attends a yoga class every 6 days. If they both attended their activities together on January 1st, when will they attend together next?
  3. A gardener waters two plants at intervals of 12 days and 16 days. If both were watered on March 1st, when will they both be watered together again?
  4. A teacher wants to distribute 30, 45, and 60 candies equally among students. What is the largest group size possible, and how many groups can she make?
  5. Three athletes are running laps of 200m, 300m, and 400m tracks. How far must each run to meet at the starting point at the same time?

Section D: Multiple Choice Questions (MCQs)

1. The LCM of 12 and 18 is:

(a) 24

(b) 36

(c) 48

(d) 54

2. The LCM of 8 and 10 is:

(a) 20

(b) 40

(c) 80

(d) 16

3. The LCM of 14, 21, and 28 is:

(a) 42

(b) 84

(c) 168

(d) 56

4. The smallest number divisible by 5, 10, and 20 is:

(a) 20

(b) 30

(c) 40

(d) 50

5. If the LCM of two numbers is 60, and their product is 240, what is their HCF?

(a) 2

(b) 4

(c) 6

(d) 8

Section E: Advanced Problems

  1. Find the smallest number divisible by 9, 12, and 18.
  2. The product of two numbers is 288, and their HCF is 12. Find their LCM.
  3. Find the smallest number which, when divided by 5, 6, and 9, leaves a remainder of 1 in each case.
  4. The LCM of two numbers is 144, and their HCF is 12. If one of the numbers is 48, find the other number.
  5. Find the LCM of 8, 9, and 12 using the prime factorization method.

Answers to LCM Questions for Class 7 Worksheet

Section A: Listing Multiples

  1. 24
  2. 45
  3. 50
  4. 42
  5. 36

Section B: Division Method

  1. 72
  2. 150
  3. 140
  4. 240
  5. 180

Section C: Word Problems

  1. 10:24 AM
  2. January 13th
  3. March 25th
  4. 15 candies per group; 2 groups of each size
  5. 1200m

Section D: MCQs

(b) 36

(a) 20

(b) 84

(a) 20

(c) 6

Section E: Advanced Problems

  1. 36
  2. 24
  3. 271
  4. 36
  5. 72

This LCM questions for class 7 worksheet is an excellent resource for classroom learning, homework, or practice for exams. Use this worksheet to gain mastery over LCM and build a strong foundation in mathematics.

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