Real-Life LCM & GCF Challenges for Grade 6

A gardener has 12 red roses and 18 yellow roses. What is the greatest common factor (GCF) of the two numbers of roses he has?

• 4

• 8

• 10

• 6

Two friends are making gift bags. One has 24 candies and the other has 36 candies. What is the least common multiple (LCM) of the number of candies they have?

• 72

• 48

• 60

• 84

A teacher is organizing 30 pencils and 45 erasers into equal groups. What is the greatest common factor (GCF) of the number of pencils and erasers?

• 15

• 25

• 20

• 10

A baker is making cupcakes and cookies. If he can make 15 cupcakes and 25 cookies, what is the least common multiple (LCM) of the number of treats he can make?

• 30

• 50

• 75

• 100

A music teacher has 8 guitars and 12 violins. What is the greatest common factor (GCF) of the number of instruments?

• 6

• 4

• 2

• 8

Two buses leave the station at the same time. One bus returns every 15 minutes and the other every 20 minutes. How often do they return at the same time? (Find the LCM)

• 75 minutes

• 30 minutes

• 60 minutes

• 45 minutes

A farmer has 16 apples and 24 oranges. If he wants to pack them into boxes with the same number of fruits, what is the greatest common factor (GCF) of the apples and oranges?

• 12

• 16

• 4

• 8

A class is going on a field trip. If they can fit 10 students in one van and 15 students in another, what is the least common multiple (LCM) of the number of students that can fit in the vans?

• 30

• 35

• 25

• 20

A toy store has 14 teddy bears and 28 action figures. What is the greatest common factor (GCF) of the number of toys?

• 14

• 28

• 7

• 21

Two runners start at the same point. One runs every 12 minutes and the other every 18 minutes. How often will they meet at the starting point again? (Find the LCM)

• 24 minutes

• 48 minutes

• 30 minutes

• 36 minutes