Least Common Multiple (LCM) Worksheet

Practice finding the least common multiple (LCM) of numbers using various methods.

Grade 8 Math Number SenseLeast Common Factor

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Includes

Fill in the Blanks3 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.6.NS.B.4

Topics

mathnumber senseleast common multiplegrade 8

8 sections · Free to use · Printable

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Least Common Multiple (LCM) Worksheet

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Read each question carefully and find the Least Common Multiple (LCM) for the given numbers. Show your work where applicable.

1. The smallest positive integer that is a multiple of two or more integers is called the .

2. To find the LCM using prime factorization, you multiply the highest powers of all factors.

3. The LCM of two prime numbers is their .

Find the LCM of the following numbers by listing their multiples:

4. Find the LCM of 6 and 8.

5. Find the LCM of 4, 6, and 9.

Find the LCM of the following numbers using the prime factorization method:

6. Find the LCM of 12 and 18.

7. Find the LCM of 15, 20, and 25.

8. What is the LCM of 7 and 11?

9. Which of the following pairs of numbers has an LCM of 30?

3 and 5

6 and 10

2 and 15

All of the above

10. The LCM of two numbers is always greater than or equal to both numbers.

True

False

11. If two numbers are relatively prime, their LCM is their product.

True

False

Solve the following word problems:

12. Two bells ring at intervals of 4 minutes and 6 minutes respectively. If they ring together at 10:00 AM, when will they ring together again?

13. Sarah buys hot dogs in packages of 10 and hot dog buns in packages of 8. What is the least number of hot dogs and buns she can buy to have an equal number of each?