Real-Life GCF & LCM Word Problems for 6th Graders

1. Sarah has 12 apples and 18 oranges. What is the greatest common factor (GCF) of the number of apples and oranges she has?

• 9

• 3

• 12

• 6

2. A gardener is planting flowers in rows. If he has 20 tulips and 30 daisies, what is the least common multiple (LCM) of the number of tulips and daisies he can plant in equal rows?

• 30

• 40

• 50

• 60

3. Two friends are collecting stickers. One has 24 stickers and the other has 36. What is the GCF of their sticker collections?

• 6

• 12

• 24

• 18

4. A teacher wants to divide 48 pencils and 60 erasers into groups. What is the LCM of the number of pencils and erasers to find out how many groups she can make?

• 120

• 240

• 180

• 300

5. Emily is making gift bags. She has 15 candies and 25 small toys. What is the GCF of the candies and toys to determine how many bags she can make with the same number of each item?

• 5

• 15

• 10

• 3

6. A baker is making cupcakes and cookies. If he can make 18 cupcakes and 24 cookies, what is the LCM of the two quantities to find out how many treats he can make in total?

• 48

• 54

• 72

• 36

7. Mark is organizing his baseball cards. He has 30 cards of one team and 45 cards of another. What is the GCF of his baseball cards?

• 25

• 20

• 10

• 15

8. A music teacher has 16 violins and 24 flutes. What is the LCM of the instruments to find out how many total instruments he can arrange in equal groups?

• 36

• 32

• 48

• 40

9. Two runners are running laps. One runs every 4 minutes and the other every 6 minutes. What is the LCM of their running times to find out when they will run together again?

• 14 minutes

• 12 minutes

• 8 minutes

• 10 minutes

10. A factory produces 50 toys and 80 dolls. What is the GCF of the toys and dolls to determine how many complete sets can be made?

• 5

• 15

• 10

• 20