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Worksheets

Mastering LCM Concepts

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

What is the LCM of 12 and 15?

a)

75

b)

45

c)

60

d)

30

2.

Find the LCM of 8 and 14.

a)

56

b)

28

c)

42

d)

70

3.

Calculate the LCM of 3, 4, and 5.

a)

20

b)

15

c)

60

d)

12

4.

Use prime factorization to find the LCM of 18 and 24.

a)

54

b)

48

c)

36

d)

72

5.

What is the LCM of 6, 9, and 12?

a)

18

b)

30

c)

24

d)

36

6.

If two numbers are 20 and 30, what is their LCM?

a)

70

b)

60

c)

50

d)

90

7.

Find the LCM of 5, 10, and 15 using prime factorization.

a)

30

b)

35

c)

25

d)

15

8.

A gardener plants flowers every 12 days and shrubs every 18 days. When will they plant both on the same day?

a)

48 days

b)

36 days

c)

24 days

d)

30 days

9.

What is the relationship between LCM and GCD?

a)

LCM(a, b) * GCD(a, b) = a * b

b)

LCM(a, b) + GCD(a, b) = a + b

c)

LCM(a, b) - GCD(a, b) = a - b

d)

LCM(a, b) / GCD(a, b) = a / b

10.

If the LCM of two numbers is 36 and one of the numbers is 9, what could the other number be?

a)

6

b)

18

c)

24

d)

4 or 12

11.

Find the LCM of 7 and 21.

a)

21

b)

14

c)

35

d)

28

12.

A bus leaves every 15 minutes and a train every 20 minutes. When will they leave together?

a)

They will leave together every 45 minutes.

b)

They will leave together every 30 minutes.

c)

They will leave together every 60 minutes.

d)

They will leave together every 90 minutes.

13.

Calculate the LCM of 4, 6, and 8 using prime factorization.

a)

18

b)

30

c)

12

d)

24

14.

If the LCM of 10 and 25 is 50, what is the GCD of these two numbers?

a)

25

b)

5

c)

10

d)

15

15.

A teacher has 24 pencils and 36 erasers. What is the LCM of the two quantities?

a)

72

b)

60

c)

48

d)

84