LCM
GCF
Exponents
Word Problems
Word Problems
100

Find the LCM

3 & 4

12

100

Find the GCF

5 & 15

5

100

23

8

100

Grant Fitness sells gym passes in packs of 8. A competing gym, Warren Wellness, sells gym passes in sets of 4. If both sold the same number of gym passes last month, what is the smallest number of passes each could have sold?

Are we finding the GCF or LCM?  

LCM

100

A choir teacher is dividing 9 sopranos and 12 altos into singing groups. He wants each group to have the same combination of sopranos and altos, with no singers left over. What is the greatest number of groups he can make? 

Are we finding the GCF or LCM?

GCF

200

Find the LCM

16 & 24

48

200

Find the GCF

30 & 42

6

200

50

1

200

Felix is packing equal quantities of pretzels and crackers for snacks. Felix bags the pretzels in groups of 5 and the crackers in groups of 10. What is the smallest number of crackers that he can pack?

10

200

Sebastian's Stationery sells thank-you cards in packs of 2 and birthday cards in packages of 4. Surprisingly, the store sold the same number of each type of card this month. What is the minimum number of each card type that the store must have sold?

4

300

Find the LCM

4 & 22

44

300

Find the GCF

16 & 22

2

300

(2/4)3

8/64

300

Albert is buying AA batteries and D batteries. The store sells AA batteries in packs of 6 and D batteries in packs of 8. If Albert wishes to buy the same number of AA and D batteries, what is the smallest number of each battery type that he can buy?

24

300

Erin is creating potpourri bowls using 28 bags of shredded bark and 42 bags of flower petals. If she wants to make all the potpourri bowls identical, containing the same number of bags of shredded bark and the same number of bags of flower petals, what is the greatest number of potpourri bowls Erin can create?

14

400

Find the LCM

14, 21, & 7 

42

400

Find the GCF

14, 49, & 7

7

400

.063

.000216

400

Hassan has 48 forks and 36 knives to place in silverware holders at the fast food restaurant where he works. He wants to distribute them equally, with no forks or knives left over. What is the greatest number of silverware holders Hassan can stock?

12

400

For a Cinco de Mayo party, Bryan is placing sets of chips and salsa throughout the house. He has 28 bags of chips and 22 jars of salsa, which he wants to distribute evenly with no bags of chips or jars of salsa left over. What is the greatest number of places Bryan can put the chips and salsa?

2

500

Find the LCM

9, 13, & 26

234

500

Find the GCF

90. 60, & 75

15

500

(1/3)5       &     4.32

1/243               18.49

500

Bryce and Tanner are shelving books at a public library. Bryce shelves 4 books at a time, whereas Tanner shelves 11 at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved?

44

500

Edwin watered all the flowers at a business park. While watering, he noticed the daisies had been planted in groups of 11 and the lilies had been planted in groups of 6. If Edwin watered the same number of each flower, what is the minimum number of each that he must have watered?

66