Grade 6 LCM Word Problems: Multiples & Fractions Fun!

1. Sarah has 12 apples and 18 oranges. She wants to make fruit baskets with the same number of each type of fruit. What is the least number of baskets she can make?

• 4

• 8

• 10

• 6

2. A school has two lunch periods. The first lunch period starts every 30 minutes, and the second starts every 45 minutes. If both lunches start at the same time, when will they next start together?

• 90 minutes

• 60 minutes

• 120 minutes

• 45 minutes

3. Tom is making gift bags for a party. He has 8 toy cars and 12 toy soldiers. What is the maximum number of identical gift bags he can make without any toys left over?

• 6

• 2

• 10

• 4

4. A gardener is planting flowers in rows. He has 15 tulips and 25 daisies. What is the largest number of rows he can plant if each row has the same number of flowers?

• 10

• 3

• 5

• 7

5. Two trains leave the station at the same time. One train departs every 20 minutes, and the other every 30 minutes. How often will both trains leave the station at the same time?

• 90 minutes

• 40 minutes

• 30 minutes

• 60 minutes

6. Emily is baking cookies. She has a recipe that requires 3 cups of flour for every 4 batches. If she wants to make the same number of batches as her friend who uses 5 cups of flour, how many batches can they make together?

• 8 batches

• 10 batches

• 4 batches

• 6 batches

7. A factory produces 24 toys every hour and 36 toys every hour in another section. If both sections work together, how many toys will they produce in the least amount of time before they produce the same number of toys?

• 2 hours

• 3 hours

• 5 hours

• 4 hours

8. A music teacher has 18 guitars and 24 drums. She wants to form groups with the same number of instruments in each group. What is the largest number of groups she can form?

• 4

• 12

• 9

• 6

9. A baker is making cupcakes. He can bake 15 cupcakes in one batch and 25 cupcakes in another. What is the least number of batches he needs to bake to have the same number of cupcakes from both batches?

• 7

• 10

• 5

• 3

10. Two friends are running laps around a track. One runs a lap every 4 minutes, and the other every 6 minutes. If they start together, how long will it be before they run a lap together again?

• 12 minutes

• 8 minutes

• 10 minutes

• 15 minutes