LCM and GCF
GCF of 3 #'s
LCM of 3 #'s
Word Problems
Just for fun! :)
100

6,9

LCM=18

GCF= 3

100

18,24,30

GCF=6

100

18,24,30

LCM= 360

100

Sarah has 12 apples and 18 oranges. She wants to pack them into boxes, with each box containing the same number of apples and the same number of oranges, without any fruit left over. What is the greatest number of boxes she can use?

Therefore, Sarah can make 6 boxes with each box containing 2 apples and 3 oranges.

100

What is the only food that can never go bad?

Honey

200

15,25

LCM=75

GCF=5

200

24,36,60

GCF=12

200

32,48,80

LCM=480

200

David attends a book club every 3 days and a writing workshop every 4 days. If he attended both events today, how many days will it be before he attends both events on the same day again?

Therefore, David will attend both events again on the same day in 12 days.

200

What are the names of all of Kim Kardashian's kids?

Psalm, Saint, and Chicago

300

14,35

LCM=70
GCF=7

300

45,75,90

GCF=15

300

45,60,75

LCM=900

300

Emma has two ribbons that are 56 inches and 98 inches long. She wants to cut both ribbons into pieces of equal length, with no leftover ribbon. What is the longest length she can cut each piece?

Therefore, the longest length she can cut each piece is 14 inches.

300

What is the Grinch’s dog’s name?

Max

400

28,42

LCM=84

GCF=14

400

36,54,81

GCF=9

400

72,108,120

LCM=2160

400

Two buses leave a station at the same time. One bus returns to the station every 12 minutes, while the other returns every 20 minutes. How many minutes will pass before both buses return to the station at the same time?



Therefore, both buses will return to the station at the same time after 60 minutes.

400

What is the largest bone in the human body?

Femur

500

48,60

LCM=240

GCF=12

500

56,84,98

GCF=14

500

84,126,168

LCM=1512

500

Anna has 84 blue beads and 126 green beads. She wants to create the largest number of identical bead necklaces, with each necklace containing the same number of blue beads and the same number of green beads. She also wants to know the minimum number of beads needed to make each necklace if each one must have the same number of each color.

First, find the GCF of 84 and 126 to determine the maximum number of necklaces she can make. The GCF is 42, so she can make 42 necklaces.

Divide each bead count by 42: 

84/42 =2 blue beads per necklace.

126/42=3 green beads per necklace.

The minimum beads per necklace is the sum: 

2+3=5 beads.

Therefore, Anna can make 42 necklaces, each containing 5 beads.

500

What produces the majority of the breathable air on earth?

The oceans