LCM Worksheet – Class 5 (Least Common Multiple)
Name: ____________________
Class: _______ Date: ___________
A. Find the LCM of the following numbers.
- 6 and 8
- 12 and 18
- 15 and 20
- 9 and 14
- 16 and 24
- 10 and 25
- 7 and 21
- 11 and 22
- 18 and 30
- 14 and 28
B. Find the LCM of the following three numbers.
- 4, 6, 8
- 5, 10, 15
- 3, 9, 12
- 6, 8, 12
- 7, 14, 21
- 8, 12, 16
- 9, 18, 27
- 10, 15, 20
- 11, 22, 33
- 12, 18, 24
C. Fill in the blanks.
- LCM of 3 and 5 is ________.
- LCM of 4 and 10 is ________.
- LCM of 6 and 9 is ________.
- LCM of 8 and 12 is ________.
- LCM of 7 and 9 is ________.
- LCM of 5 and 15 is ________.
- LCM of 10 and 20 is ________.
- LCM of 12 and 15 is ________.
- LCM of 14 and 21 is ________.
- LCM of 16 and 18 is ________.
D. Word Problems.
- Two bells ring every 6 minutes and 8 minutes. After how many minutes will they ring together?
- Two buses arrive every 10 minutes and 15 minutes. When will they arrive together again?
- A light blinks every 12 seconds and another every 18 seconds. When do they blink together?
- Two runners take 9 minutes and 12 minutes per lap. When will they meet at the starting point?
- Three machines work in cycles of 4, 6, and 8 hours. After how many hours will they work together again?
- Two trains leave stations every 20 and 30 minutes. When do they leave together?
- A bell rings every 7 seconds and another every 14 seconds. When together?
- Two taps fill a tank in 5 and 10 hours. After how long will they fill together?
- Two lights flash every 3 and 9 seconds. When will they flash together?
- A school bell rings every 45 minutes and another every 60 minutes. When will they ring together?
E. Challenge Section
- Find LCM of 18, 24, and 36
- Find LCM of 25, 50, and 75
- Find LCM of 6, 15, and 20
- Find LCM of 8, 14, and 28
- Find LCM of 9, 12, and 18
- Find LCM of 16, 20, and 24
- Find LCM of 11, 22, and 33
- Find LCM of 13, 26, and 39
- Find LCM of 7, 8, and 9
- Find LCM of 10, 12, and 15
Answer Key
A
- 24
- 36
- 60
- 126
- 48
- 50
- 21
- 22
- 90
- 28
B
- 24
- 30
- 36
- 24
- 42
- 48
- 54
- 60
- 66
- 72
C
- 15
- 20
- 18
- 24
- 63
- 15
- 20
- 60
- 42
- 144
D
- 24 minutes
- 30 minutes
- 36 seconds
- 36 minutes
- 24 hours
- 60 minutes
- 14 seconds
- 10 hours
- 9 seconds
- 180 minutes (3 hours)
E
- 72
- 150
- 60
- 56
- 36
- 240
- 66
- 78
- 504
- 60