Greatest Common Multiple Worksheet

Greatest Common Multiple Practice

Read each question carefully and find the greatest common multiple (GCM) for the given numbers or answer the word problems.

1. Find the greatest common multiple of 4 and 6:  

2. What is the greatest common multiple of 9 and 12?  

3. The greatest common multiple of 5 and 10 is:  

4. Which of the following is the greatest common multiple of 8 and 12?

5. The GCM of 7 and 14 is:

6. A baker has 18 chocolate chip cookies and 24 oatmeal cookies. She wants to arrange them on plates so that each plate has the same number of chocolate chip cookies and the same number of oatmeal cookies, with no cookies left over. What is the greatest number of plates she can use?

7. Two bells ring at different intervals. One bell rings every 15 minutes, and the other rings every 20 minutes. If they both ring at 1:00 PM, at what time will they ring together again?

8. The greatest common multiple of any two prime numbers is always 1.

9. The greatest common multiple of 10 and 15 is 5.

10. Explain in your own words what the 'greatest common multiple' means and how it differs from the 'least common multiple'.