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Least Common Multiple (LCM) Worksheet

Practice finding the least common multiple of two or more numbers.

Grade 7 Math Number SenseLeast Common Factor
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / False2 Custom

Standards

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

Topics

mathnumber senselcmgrade 7
8 sections · Free to use · Printable
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Least Common Multiple (LCM) Practice

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

1. What is the Least Common Multiple (LCM) of 4 and 6?

a

12

b

24

c

2

d

10

2. Find the LCM of 3, 5, and 10.

a

15

b

30

c

50

d

60

3. The multiples of 8 are 8, 16, 24, 32, 40, 48, ... The multiples of 12 are 12, 24, 36, 48, ... The LCM of 8 and 12 is  .

4. To find the LCM of two prime numbers, you simply   them.

5. Explain in your own words what the Least Common Multiple (LCM) means.

6. Find the LCM of 7 and 9. Show your work.

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

T

True

F

False

8. The LCM of 15 and 20 is 60.

T

True

F

False

9. Two bells ring at different intervals. One bell rings every 8 minutes, and the other rings every 10 minutes. If they both ring at 1:00 PM, at what time will they ring together again?

10. Use the number line below to help visualize the common multiples of 2 and 3. Circle the common multiples and identify the LCM.

02468101214161820

LCM =