Word Problems Involving Highest Common Factor And Lowest Common Multiple Worksheet printable pdf download

Word Problems Involving Highest Common Factor and Lowest Common Multiple

Read each question carefully and think about what the question is asking.

Find the prime factors for each number

Draw a Prime factor diagram

Remember

Numbers in the overlap = HCF

Numbers in the whole diagram = LCM

1. Kamal 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 Kamal can stock?

2. At a family reunion, each of Sana's aunts and uncles is getting photographed once. The aunts are

taking pictures in groups of 5 and the uncles are taking pictures in groups of 10. If Sana has the same

total number of aunts and uncles, what is the minimum number of aunts that Sana must have?

3. Sapphire and Abe are shelving books at a public library. Sapphire shelves 5 books at a time, whereas

Abe shelves 6 at a time. If they end up shelving the same number of books, what is the smallest

number of books each could have shelved

4. For a dinner party, Abraham is creating individual servings of starters. He has 9 carrot sticks and 18

celery sticks. If he wants each serving to be identical, with no food left over, what is the greatest

number of servings Abraham can create?

5. To encourage public transportation, Russom wants to give some friends envelopes with bus tickets and

subway tickets in them. If he has 18 bus tickets and 12 subway tickets to split equally among the

envelopes, and wants no tickets left over, what is the greatest number of envelopes Russom can

make?

6. Miley and Cole ended up making the same number of biscuits for a bake sale at school, even though

Miley made them in batches of 7 biscuits and Cole made them in batches of 11 biscuits. What is the

smallest number of biscuits each must have baked?

7. Veronica is making emergency-preparedness kits to share with friends. She has 20 bottles of water and

12 cans of food, which she would like to distribute equally among the kits, with nothing left over. What

is the greatest number of kits Veronica can make?

8. The soccer team and the American football team are sharing the field for their practices today. The

soccer team meets for practice every 2 days, and the American football team meets every 4 days. How

many days from now will they have to share the field again?

9. Colton has 16 blue marbles and 8 white ones. If he wants to place them in identical groups without any

marbles left over, what is the greatest number of groups Colton can make?

10. This afternoon, Sara noticed that the number of the page assigned for homework is divisible by both

12 and 2. What is the smallest possible page number that could have been assigned?

Word Problems Involving Highest Common Factor And Lowest Common Multiple Worksheet