Exploring Least Common Multiples: Fun LCM Challenges

Sarah is organizing a party and wants to buy balloons. She can buy packs of 6 or packs of 8 balloons. What is the least common multiple of 6 and 8 to find out how many balloons she should buy to have the same number of each type?

• 18

• 30

• 24

• 36

Tom and Jerry are running laps around a track. Tom completes a lap every 4 minutes, and Jerry completes a lap every 6 minutes. How many minutes will it take for them to both be at the starting point again?

• 10 minutes

• 12 minutes

• 15 minutes

• 8 minutes

A gardener is planting flowers in rows. He can plant 5 flowers in a row or 10 flowers in a row. What is the least common multiple of 5 and 10 to determine how many flowers he should plant to have equal rows?

• 15

• 20

• 5

• 10

In a school, the music class meets every 3 days, and the art class meets every 5 days. If both classes meet on the same day, how many days will it be until they meet again on the same day?

• 10 days

• 15 days

• 20 days

• 12 days

A bus leaves the station every 12 minutes, and a train leaves every 15 minutes. If they both leave at the same time, how long will it be before they leave at the same time again?

• 30 minutes

• 120 minutes

• 45 minutes

• 60 minutes

Three friends are planning a movie night. One friend can watch a movie every 2 weeks, another every 3 weeks, and the last every 4 weeks. How many weeks will it be until they can all watch a movie together again?

• 16 weeks

• 10 weeks

• 8 weeks

• 12 weeks

A baker makes batches of cookies. One batch takes 10 minutes to bake, and another takes 15 minutes. If he starts both batches at the same time, how long will it take for both batches to finish baking together?

• 25 minutes

• 10 minutes

• 20 minutes

• 15 minutes

A cycling club meets every 8 days, and a running club meets every 12 days. If they both meet on the same day, how many days will it be until they meet again on the same day?

• 16 days

• 30 days

• 20 days

• 24 days

A teacher is scheduling tests. One test is every 6 weeks, and another is every 9 weeks. How many weeks will it be until both tests occur in the same week?

• 24 weeks

• 12 weeks

• 30 weeks

• 18 weeks

A pet store has fish that are fed every 5 days and birds that are fed every 7 days. If they are fed on the same day, how many days will it be until they are fed together again?

• 21 days

• 28 days

• 35 days

• 14 days