LCM and GCF Word Problems

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

List the factors of each number and identify the largest factor they have in common.

Front

What is the Least Common Multiple (LCM)?

Back

The LCM is the smallest number that is a multiple of two or more numbers.

Front

How do you find the LCM of two numbers?

Back

List the multiples of each number and identify the smallest multiple they have in common.

Front

If Kool Billy has 6 cans of regular soda and 15 cans of diet soda, what is the greatest number of identical refreshment tables he can create without leftovers?

Back

GCF = 3 tables.

Front

What is the shortest height at which two stacks of boxes (82 inches and 74 inches tall) will be the same height?

Back

3034 inches.

Front

If pencils come in packages of 10 and erasers come in packages of 12, how many packages should Senior Billy buy to have 1 eraser per pencil?

Back

6 packages of pencils and 5 packages of erasers.

Front

Lillest Billy has 16 red flowers and 24 yellow flowers. What is the greatest number of bouquets she can make with the same number of each color?

Back

8 bouquets.

Front

What is a common application of GCF in real life?

Back

GCF can be used to determine how to evenly distribute items into groups.

Front

What is a common application of LCM in real life?

Back

LCM can be used to find a common schedule for events that repeat at different intervals.