LCM and GCF: Real-Life Applications for Grade 6

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

• 6

• 12

• 9

• 3

2. Tom is making gift bags with 8 candies and 12 stickers. What is the least common multiple (LCM) of the number of candies and stickers he can use to make equal bags?

• 32

• 24

• 16

• 20

3. A gardener has 20 red flowers and 30 yellow flowers. What is the GCF of the two amounts if he wants to plant them in equal rows?

• 15

• 25

• 5

• 10

4. Emily is baking cookies and needs 15 chocolate chips and 25 nuts. What is the LCM of the two ingredients if she wants to use them in equal portions?

• 75

• 100

• 60

• 50

5. A teacher has 24 pencils and 36 erasers. What is the GCF of the pencils and erasers if she wants to distribute them evenly among students?

• 6

• 12

• 18

• 24

6. Mark is organizing his toy cars and has 16 blue cars and 24 red cars. What is the LCM of the two types of cars if he wants to arrange them in groups?

• 32

• 48

• 56

• 40

7. A recipe calls for 18 cups of flour and 27 cups of sugar. What is the GCF of the two ingredients if he wants to make the largest batch possible?

• 9

• 12

• 6

• 15

8. Lisa is making bracelets using 14 beads and 21 charms. What is the LCM of the beads and charms if she wants to create identical bracelets?

• 28

• 35

• 56

• 42

9. A factory produces 40 toys and 60 games. What is the GCF of the toys and games if they want to package them in equal boxes?

• 50

• 30

• 20

• 10

10. John has 15 marbles and 25 stickers. What is the LCM of the two items if he wants to create sets with the same number of each?

• 30

• 100

• 50

• 75