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Worksheets

LCM & GCF Review

Total questions: 25

Worksheet time: 4hrs 10mins

Name
Class
Date
1.

There are 40 girls and 32 boys who are attending Angela’s Thanksgiving dinner. If each table must have the same number of girls and the same number of boys, what is the greatest number of tables that Angela will need for dinner?

a)

6

b)

8

c)

2

d)

4

2.

Lisa is making activity baskets for the kids that attend her Thanksgiving dinner. She has 12 coloring books, 28 markers, and 36 crayons. What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?

a)

2

b)

12

c)

36

d)

6

3.

Kaden has 6 cans of regular soda and 15 cans of diet soda. He wants to create some identical refreshment tables that will operate during the American football game. He also doesn't want to have any sodas left over. What is the greatest number of refreshment tables that Kaden can stock?

a)

GCF = 6 tables

b)

GCF = 3 tables

c)

GCF = 15 tables

d)

GCF = 5 tables

4.

Ariel is making"flower arrangements. He has 7 roses and 14 daisies. lf Ariel wants to make all the arrangements identical and have no flowers left over, what is the greatest number of flower arrangements that he can make?

a)

GCF, 7 arrangements

b)

LCM,7 arrangements

c)

GCF, 98 arrangements

d)

LCM, 98 arrangements

5.
Peter has 18 oranges and 27 pears. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make?
a)
1
b)
2
c)
3
d)
4
6.
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?
a)
6
b)
2
c)
4
d)
8
7.
Peter has 18 oranges and 27 pears. He wants to make fruit baskets with the same number of each fruit in each basket. How many PEARS will be in the greatest number of fruit baskets?
a)
7
b)
8
c)
9
d)
10
8.
There are 40 girls and 32 boys who want to participate in 6th 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?
a)
6
b)
4
c)
8
d)
2
9.
Is this question asking to find GCF or LCM?
a)
GCF
b)
LCM
10.
a)

3

b)

5

c)

6

d)

9

11.
Melanie has pieces of train track that are 8 inches long that she is connecting together to form a track that her train can travel on. Martin is also trying to construct a track for his train but is using track pieces that are 20 inches long. How long will the shortest track be if the track that Melanie builds ends up being the same length as Martin’s track?
a)
10 inches
b)
20 inches
c)
30 inches
d)
40 inches
12.
At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items?
a)
16th customer
b)
150th customer
c)
300th customer
d)
180th customer
13.
The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?
a)
14 days
b)
24 days
c)
34 days
d)
44 days
14.

Matthew goes hiking every 2 days and swimming every 6 days, He did both kinds of exercise today. How many days from now will he go both hiking and swimming again?

a)

GCF, 2 days

b)

LCM, 12 days

c)

GCF, 12 days

d)

LCM, 13 days

15.
Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height?
a)
24
b)
18
c)
36
d)
72
16.
What is the least common multiple (LCM) of 15 and 2?
a)
30
b)
2
c)
45
d)
152
17.
What is the least common multiple (LCM) of 2 and 5?
a)
2
b)
10
c)
20
d)
7
18.
The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?
a)
14 days
b)
24 days
c)
34 days
d)
44 days
19.
Two neon signs are turned on at the same time. Both signs blink as they are turned on. One sign blinks every 9 seconds. The other sign blinks every 15 seconds. In how many seconds will they blink together again?
a)
48 seconds
b)
45 seconds
c)
16 seconds
d)
8 seconds
20.

Jane has 18 juice boxes, 24 bags of peanuts . She wants to make snack bags with the same number of each thing in each bag. What is the greatest number of snack bags Jane can make.

a)

4

b)

6

c)

8

d)

10

21.
Sara had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?
a)
4
b)
2
c)
48
d)
8
22.
What is the least common multiple (LCM) of 4 and 9?
a)
12
b)
36
c)
27
d)
9
23.
what is a multiple of 14
a)
28
b)
7
c)
20
d)
5
24.
What is a factor of 14
a)
5
b)
7
c)
3
d)
28
25.
Find the LCM of 18 and 24
a)
6
b)
72
c)
24
d)
5