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Factors / GCF
Multiples / LCM
Greatest Common Factor
Least Common Multiple
Word Problems
100
List all of the factors of 32.
1, 2, 4, 8, 16, and 32
100
List 3 multiples of 8 that are less than 50.
8, 16, 24, 32, 40, 48
100
What is the greatest common factor of 12 and 15
3
100
What is the least common multiple of 3 and 7?
21
100

Timer 1 is set to beep every 8 minutes. Timer 2 is set to beep every 6 minutes. How many times will they beep at the same time in one hour?

Working:

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

8: 8, 16, 24, 32, 40, 48, 56, 64 

Answer: The will beep at the same time twice (two times) in one hour.

200
List all of the common factors of 12 and 20.
1, 2, and 4
200
List 3 common multiples of 2 and 6.
6, 12, 18, 24, 30, 36, 42, 48, etc.
200
What is the greatest common factor of 24 and 20?
4
200
What is the least common multiple of 4 and 9?
36
200
You bring snacks for your basketball team every fifth game. Every third game is a home game. When will be the first time that you bring snacks to a home game?
15th game
300
List all of the factors of 42.
1, 2, 3, 6, 7, 14, 21, 42
300
List all the common multiples of 6 and 8 that are less than 50.
24 and 48
300

What is the greatest common factor of 54, 72, and 63?

9

300
What is the least common multiple of 2, 3, and 5?
30
300
Sarah is making bead necklaces. She has 60 blue beads and 72 green beads. What is the greatest number of identical necklaces she can make if she wants to use all the beads?
6
400
What is the greatest factor of 16 and 36?
4
400
List 4 multiples of 7 greater than 10 but less than 50.
14, 21, 28, 35, 42, 49
400

You have a piece of construction paper that measures 32 cm by 48 cm.  You want to cut it into squares of equal size.  What will be the dimensions of the largest possible square?

How many squares will you have

Largest possible square: 16cm by 16cm

How many squares: 2 x 3 = 6 squares


400

Sliced ham comes in packages of 10.  Cheese slices come in packages of 8.  Bread rolls come in packages of 12.  What is the least number of all three items you must buy to make the same number of ham and cheese sandwiches (with one slice of ham, one slice of cheese, and one bread roll) with nothing left over?

120

12 ham packages

15 cheese packages

10 bread roll packages


400

At Central Station, the express bus leaves every 15 minutes, the local train leaves every 10 minutes, and the regional train leaves every 20 minutes.  If all three leave at the same time, after how long will they again leave at the same time?

60 minutes

500
What is the great common factor of 50, 35, and 15?
5
500
List all the common multiples of 12 and 18 that are less than 75.
36 and 72
500

You have 54 hockey cards, 72 baseball cards, and 63 basketball cards.  You want to put them in a binder.  Each page of the binder should have cards from a single sport, and there should be the same number of cards on each page.  

What is the greatest number of cards you can put on a page?  

How many pages will you need for each sport?

9 cards on each page

6 pages for hockey

8 pages for baseball

7 pages for basketball

500
Three pigs entered a race around a track. Piggly takes 12 minutes to run one lap. Piglet takes 6 minutes to run one lap and it takes Wiggly 16 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?
48 minutes
500
Johnny baked 36 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for his teacher friends at school. He wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If he wants each container to have the greatest number of cookies possible, how many plastic containers does he need?
12 plastic containers