LCM and GCF Challenges in Everyday Life

1. Sarah has 12 apples and 18 oranges. What is the GCF of the number of apples and oranges she has?

• 6

• 4

• 8

• 10

2. A gardener is planting flowers in rows. He can plant 8 flowers in each row or 12 flowers in each row. What is the LCM of the two numbers of flowers he can plant?

• 24

• 16

• 30

• 20

3. Two friends are making bracelets. One friend uses 15 beads, and the other uses 20 beads. What is the GCF of the number of beads they are using?

• 15

• 10

• 5

• 25

4. A school is organizing a field trip. They can take 24 students in one bus or 36 students in another bus. What is the LCM of the two bus capacities?

• 72

• 60

• 84

• 48

5. Emily has 30 stickers, and her brother has 45 stickers. What is the GCF of the stickers they have?

• 20

• 25

• 15

• 10

6. A factory produces 40 toys every hour and 60 toys every hour in another section. What is the LCM of the production rates?

• 120

• 80

• 100

• 140

7. A baker is making cupcakes. He can bake 18 cupcakes in one batch and 24 in another. What is the GCF of the batch sizes?

• 6

• 15

• 9

• 12

8. Two cyclists are riding at different speeds. One cycles every 15 minutes, and the other every 25 minutes. What is the LCM of their cycling intervals?

• 75

• 100

• 60

• 90

9. A music teacher has 28 music sheets and 42 practice sheets. What is the GCF of the sheets he has?

• 21

• 28

• 7

• 14

10. A group of friends is planning a picnic. They can bring 16 sandwiches or 24 drinks. What is the LCM of the number of items they can bring?

• 48

• 36

• 40

• 32