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Least Common Multiple (LCM) Worksheet

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

Grade 6 Math Number SenseNumber TheoryLeast Common Multiple (LCM)
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Includes

2 Short AnswerFill in the BlanksMultiple Choice

Standards

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

Topics

mathgrade 6number senseLCMleast common multiple
6 sections · Free to use · Printable
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Least Common Multiple (LCM)

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

1. List the first five multiples of each number, then find the LCM of 4 and 6.

Multiples of 4:  

Multiples of 6:  

LCM (4, 6):  

2. Find the LCM of 3 and 5.

Use prime factorization to find the LCM of the following numbers.

3. The prime factorization of 8 is  . The prime factorization of 12 is  . The LCM of 8 and 12 is  .

4. Find the LCM of 9 and 15 using prime factorization. Show your work below.

5. What is the least common multiple of 7 and 14?

a

7

b

14

c

21

d

28

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

a

5 and 10

b

3 and 6

c

6 and 10

d

2 and 15

7. Two buses leave the station at 9:00 AM. Bus A returns to the station every 20 minutes, and Bus B returns every 25 minutes. At what time will both buses next be at the station together?

8. Sarah is buying hot dogs and hot dog buns for a party. Hot dogs come in packs of 10, and buns come in packs of 8. What is the least number of hot dogs and buns she can buy so she has an equal number of each?