Finding Least Common Multiples in Real-Life Scenarios

1. Sarah has 12 apples and 18 oranges. What is the least common multiple (LCM) of the number of apples and oranges she has?

• 48

• 36

• 30

• 24

2. A school has two lunch schedules. One schedule serves lunch every 15 minutes, and the other serves lunch every 20 minutes. How often do both schedules serve lunch at the same time?

• 60 minutes

• 30 minutes

• 90 minutes

• 45 minutes

3. Tom is making gift bags. He has 8 red balloons and 12 blue balloons. What is the least common multiple of the number of red and blue balloons?

• 16

• 24

• 20

• 32

4. Emily and Jake are running laps. Emily completes a lap every 9 minutes, and Jake completes a lap every 12 minutes. When will they both finish a lap at the same time?

• 24 minutes

• 30 minutes

• 48 minutes

• 36 minutes

5. A baker is making cookies. One batch takes 10 minutes to bake, and another takes 15 minutes. How long will it take for both batches to finish baking at the same time?

• 20 minutes

• 30 minutes

• 35 minutes

• 25 minutes

6. Lisa is comparing two recipes. One recipe requires 2/3 cup of sugar, and the other requires 1/4 cup. What is the least common multiple of the denominators to compare the amounts of sugar?

• 6

• 12

• 10

• 8

7. A gardener plants flowers in rows. One type of flower is planted every 5 feet, and another type is planted every 8 feet. What is the least common multiple of the distances to find out where both types will be planted together?

• 40

• 60

• 50

• 30

8. A train leaves the station every 30 minutes, and a bus leaves every 45 minutes. When will they both leave the station at the same time again?

• 45 minutes

• 90 minutes

• 120 minutes

• 60 minutes

9. Two friends are playing a game. One friend scores points every 6 minutes, and the other scores every 9 minutes. How long will it take for them to score points at the same time?

• 12 minutes

• 18 minutes

• 30 minutes

• 24 minutes

10. A factory produces toys every 24 minutes and games every 36 minutes. How often do they produce both toys and games at the same time?

• 48 minutes

• 60 minutes

• 90 minutes

• 72 minutes