Worksheet: Finding the Least Common Multiple of Two or More Numbers

In this worksheet, we will practice finding the least common multiple of two or more numbers and using this to solve problems in the real world.

Q1:

Find the LCM of the numbers and .

Q2:

Find the LCM of the numbers and .

Q3:

What is the least common multiple of 7 and 5?

Q4:

What is the least common multiple of 4 and 6?

Q5:

Find the LCM of 4 and 15.

Q6:

Find the LCM of 16 and 20.

A108
B52
C80
D320
E36

Q7:

Find the LCM of 15 and 46.

A183
B690
C76
D61

Q8:

Find the LCM of 32 and 39.

A213
B
1 248
C103
D71

Q9:

Find the LCM of 49 and 28.

A231
B126
C196
D
1 372
E77

Q10:

Find the LCM of , and 4.

Q11:

Find the LCM of 4, 6, and 49.

Q12:

Find the LCM of 6, 15, and 40.

Q13:

Find the LCM of , and 130.

Q14:

Find the LCM of , and 140.

Q15:

Find the two numbers whose LCM is 45 and sum is 54.

A10 and 47
B9 and 45
C18 and 90
D18 and 36

Q16:

List the next five common multiples after the LCM of 4 and 9.

A72, 144, 216, 288, 360
B2, 3, 4, 5, 6
C72, 108, 144, 180, 216
D2, 4, 6, 8, 10
E36, 72, 108, 144, 180

Q17:

Write three numbers that have an LCM of 210.

A2, 5, 7
B2, 15, 5
C2, 15, 21
D2, 7, 21
E5, 15, 21

Q18:

A quarter moon occurs every 15 days. If the last quarter moon occurred on a Monday, how many days will pass before a quarter moon occurs again on a Monday?

Q19:

The FIFA world Cup takes place every 4 years, and the US census is taken every 10 years; both took place in 2010. When is the next year in which both events will happen?

A2014
B2024
C2030
D2050
E2020

Q20:

Emily goes to the library every 6 weeks. Molly goes to the same library every 7 weeks. If they met at the library one day, how long would it be before both of them are at the library in the same week again?

Q21:

David is printing green and yellow stickers. He noticed that a page can fit 6 green stickers or 8 yellow ones. If he wants to print the exact same number of green and yellow stickers, what is the least number of green stickers he could print?

Q22:

Anthony goes to the supermarket every 14 days, and Elizabeth goes to the same supermarket every 21 days. If Anthony and Elizabeth meet at the supermarket on a particular day, how many days will pass before they meet each other again at the supermarket?

Q23:

Every 3 years, Huntington School hosts the state gymnastics competition. Every 7 years, it hosts the state maths competition. If the last time the school hosted both events in the same year was in 2003, in what year will the school host both events in the same year again?

A2020
B2023
C2024
D2010
E2013