LCM
GCF
Word Problems
Multi Step Word Problems
Fractions
100

What is the LCM of 4 and 7?

28

100

What is the GCF of 5 and 10?

5

100

Mr. Chan has 12 sixth graders and 18 seventh graders. He wants to divide them into equal groups with the greatest number of students in each. How many students should be in each group?

6 Students in a Group

100

Joe is dividing 6 crackers and 8 pieces of chocolate into equal groups (because he can). What are the biggest groups he can make with none leftover? How many groups of crackers and chocolate will there be?

The biggest group is 2; There will be 3 groups of crackers and 4 groups of chocolate.

100

1/3 x 1/2

1/6

200

What is the LCM of 3 and 9?

9
200

What is the GCF of 6 and 8?

2

200

Bill is buying pens and pencils. Pens come in packages of 24, and pencils come in packages of 18. What is the least amount of pens and pencils he could be so there is one pencil to each pen with none leftover?

72 pens and pencils

200

Mr. Reese is buying notebooks and folders. Notebooks are sold in packages of 25 at $5.00 a package, and folders are sold in packages of 15 at $6.00 a package. What is the least number of notebooks and packages Mr. Reese could buy so there is one folder to every package with none leftover? What will this cost Mr. Reese?

75 packages. This will cost $45 total ($15 for notebooks, $30 for folders)

200

2/5 - 1/4

3/20

300

What is the LCM of 8 and 10?

40

300

What is the GCF of 10 and 25?

5

300

Jose is making a pretty necklaces for his mom. Red beads come in packages of 10. Yellow beads come in packages of 8. What is the least number of beads he could be so there is an equal amount of yellow and red beads with none leftover?

40 beads

300

Joey bought two sandwiches that measured 14 inches and 21 inches. He cuts them into equal sections that are as long as possible. How big should these sections be? How many sections will there be in all?

These sections should be 7 inches. There will be 5 sections in all.

300

14/16 + 2/7

1 9/56

400

What is the LCM of 12 and 15?

60

400

What is the GCF of 12 and 40?

4

400

Joey has 3 sub sandwiches that measure 6 inches, 12 inches, and 10 inches. He wants to cut each of them into equal sections that are as long as possible. What lengths should he cut them?

2 inch sections.

400

Boris is planting flowers in his backyard. He plants tulips in rows of 4, roses in rows of 12, and junipers in rows of 18. What is the least number of plants he could plant to have the same amount of roses, junipers, and and tulips with no leftover? How many rows of each will there be?

36 plants. There will be 9 rows of tulips, 3 rows of roses, and 2 rows of junipers.

400

1/7 / 1/2

2/7

500

What is the LCM of 42 and 60?

420

500

What is the GCF of 110 and 165?

55

500

Gregory is out buying sandwich stuff. Bread comes in packages of 15, meat comes in packages of 12, and cheese comes in packages of 40. What is the least number of meat, bread, and cheese he could be so there is one meat bread and cheese to each sandwich with none leftover?

120 (He's having a sandwich party!)
500

You are brave took this for 500. 

You can buy 6 pairs of pants at Jason's for the same price of 9 pairs of pants at Todd's. If one pair of pants at Jason's costs $24.25, what is the cost of one pair of pants at Todd's?

16.16 or 16.17 (6 repeats, but we cut it off).

500

8/18 x 2/3

8/27