LCM and GCF Practice
Find the least common multiple of the following sets of numbers.

12, 16

4, 14

18,30

3, 10, 12

30, 48

25, 30

60, 48

24, 36
Find the greatest common factor of the following sets of numbers.

45, 75

32, 64, 80

32, 120

64, 96

60, 80

24, 56

18, 22

60, 120
Determine if the following story problems are GCF or LCM problems. Underline key words and find the LCM or GCF of the numbers.
17.) There are 40 girls and 32 boys who want to participate in 6^{th} grade intramurals. If each team must have the same number of girls and the same number of boys, what is the greatest number of teams that can participate in intramurals?
How many girls and boys will be on each team?
18.) Three pigs entered a race around a track. Piggly takes 6 minutes to run one lap. Piglet takes 3 minutes to run one lap and it takes Wiggly 5 minutes to run one lap. If all three pigs begin the race at the same time, how many minutes will it take for all three pigs to be at the starting point again?
19.) Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white balloons, and 16 orange balloons. She wants each arrangement to have the same number of each color. What is the greatest number of arrangements that she can make if every balloon is used?
