# Worksheet: The Least Common Multiple

In this worksheet, we will practice finding the least common multiple of two or more numbers.

**Q7: **

What is the least common multiple of 4 and 10?

**Q8: **

What is the least common multiple of 7 and 5?

**Q9: **

Find the LCM of , and 4.

**Q10: **

List the next five common multiples after the LCM of 2 and 16.

- A32, 64, 96, 128, 160
- B16, 32, 48, 64, 80
- C4, 6, 8, 10, 12
- D4, 8, 12, 16, 20
- E32, 48, 64, 80, 96

**Q11: **

Victoria goes to the library every 6 weeks. Scarlett 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?

**Q12: **

Write three numbers that have an LCM of 210.

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

**Q14: **

What is the least common multiple of 8 and 10?

**Q15: **

What is the least common multiple of 6 and 10?

**Q16: **

Jacob and Anthony are hosting a BBQ party. Jacob is buying hamburgers that come in packs of 9, and Anthony is buying buns that come in packs of 6. Given that they want to buy the same number of hamburgers and buns, find the least number of hamburgers they can buy.

**Q17: **

What is the least common multiple of 6 and 3?

**Q18: **

Chloe is buying disposable cups and plates for a party. Cups come in packs of 6 and plates in packs of 8. The store does not sell parts of a pack, and Chloe wants to have the same number of cups as plates. What is the smallest total number of cups she can purchase?

**Q19: **

The LCM of two consecutive positive numbers is greater than 300 and is a multiple of 9. Determine the least possible values of the two numbers.

- A17, 19
- B18, 18
- C17, 18
- D18, 19

**Q20: **

Which of the following describes all of the common multiples of 28 and 42? Note that is any positive, whole numbers.

- A
- B
- C
- D
- E

**Q21: **

What is the least common multiple of 6 and 2?

**Q22: **

In an inline speed skating competition, Ethan completes each lap in 20 seconds, Benjamin completes each lap in minutes, and Daniel completes each lap in 30 seconds. Given that they all start skating simultaneously, determine how many minutes will pass before they all cross the start line together again.

- A min
- B1 min
- C min
- D4 min

**Q23: **

Isabella goes to the park every two days, and she goes to the ice cream shop once a week. One day, Isabella went to the park and then went to the ice cream shop. How many days will pass before she does both activities on the same day again?

**Q24: **

Elizabeth and Madison start running in the park together. It takes Elizabeth 4 minutes and Madison 6 minutes to run one lap. How long before they are together again at the starting point?

**Q25: **

Is the following statement true or false? The LCM of an odd number and an even number is always even.

- AFalse
- BTrue