GCF and LCM Word Problems

Front

What is the Least Common Multiple (LCM)?

Back

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

Front

How do you find the LCM of two numbers?

Back

To find the LCM, list the multiples of each number and identify the smallest common multiple.

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest common factor.

Front

If Hazel shelves 5 books at a time and Isabella shelves 6 books at a time, what is the LCM of 5 and 6?

Back

LCM = 30 Books.

Front

If Dorothy has 18 bus tickets and 12 light rail tickets, what is the GCF of 18 and 12?

Back

GCF = 6 Envelopes.

Front

Kaden has 6 cans of regular soda and 15 cans of diet soda. What is the GCF of 6 and 15?

Back

GCF = 3 tables.

Front

What is the smallest number divisible by both 12 and 2?

Back

LCM = 12.

Front

Khoi has 9 carrot sticks and 18 celery sticks. What is the GCF of 9 and 18?

Back

GCF = 9 servings.

Front

What is an example of a word problem that requires finding the LCM?

Back

Finding the smallest number of books that Hazel and Isabella could have shelved together.