Name: 
 

Least Common Multiple and Greatest Common Factor, Practice


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Find the LCM of the numbers.
 

 1. 
7, 11, 21
A
462
B
77
C
231
D
1,617
 

 2. 
7, 11, 14
A
154
B
77
C
1,078
D
308
 

 3. 
Find the LCM of 20 and 50.
A
70
B
100
C
1,000
D
10
 

 4. 
Find the LCM of 60 and 24.
A
1,440
B
120
C
84
D
12
 

 5. 
Find the GCF of 27 and 45.
A
18
B
135
C
27
D
9
 

 6. 
Find the GCF of 22 and 60.
A
4
B
1
C
2
D
3
 

 7. 
Find the GCF (greatest common factor) of 35 and 140.
A
5
C
7
B
14
D
20
 

 8. 
Mike works in the shipping department for a toy store. Every 6 weeks he receives
a shipment of games. Every 4 weeks he receives a shipment of bicycles. If
Mike received a shipment of both the games and the bicycles today, when is the
next time both toys will arrive on the same day?
A
12 weeks
C
27 weeks
B
18 weeks
D
8 weeks
 

 9. 
Kate is making bead necklaces. She has 36 green beads and 84 blue beads.  What is the greatest number of identical necklaces (each with the same number of each color bead)  she can make if she wants to use all of the beads?
A
12
C
11
B
13
D
252
 

 10. 
Erica, Ariel, and Jaclyn each picked flowers in a meadow. Erica picked 4 flowers,
Ariel picked 6 flowers, and Jaclyn picked 18 flowers. If the girls are going to divide
each group of flowers evenly among the vases, what is the greatest number of
vases they can fill?
A
2
C
3
B
8
D
9
 



 
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