LCM & GCF Adventures: Real-Life Problem Solving

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

• 3

• 9

• 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 flowers he has?

• 30

• 60

• 50

• 40

3. Two friends are running laps around a track. One runs every 4 minutes, and the other runs every 6 minutes. How often will they meet at the starting point?

• 8 minutes

• 12 minutes

• 15 minutes

• 10 minutes

4. A baker makes 24 cookies and 36 brownies. What is the greatest common factor (GCF) of the total number of treats he has?

• 18

• 30

• 12

• 6

5. A school is organizing a field trip. If the bus can hold 15 students and the van can hold 10 students, what is the least common multiple (LCM) of the number of students they can transport together?

• 20

• 35

• 30

• 25

6. Emily has 16 red balloons and 24 blue balloons. What is the greatest common factor (GCF) of the balloons she has?

• 12

• 16

• 4

• 8

7. Two bicycles are being rented. One bicycle is available every 5 minutes, and the other every 8 minutes. How often will both bicycles be available at the same time?

• 50 minutes

• 60 minutes

• 30 minutes

• 40 minutes

8. A teacher has 30 pencils and 45 erasers. What is the greatest common factor (GCF) of the number of pencils and erasers?

• 25

• 10

• 20

• 15

9. A music class has 18 guitars and 27 drums. What is the least common multiple (LCM) of the instruments in the class?

• 54

• 72

• 81

• 36

10. A factory produces 40 toys and 60 games. What is the greatest common factor (GCF) of the total number of items produced?

• 200

• 80

• 100

• 120