GCF and LCM Word Problems

Front

What is the definition of LCM (Least Common Multiple)?

Back

The LCM of two or more numbers is the smallest multiple that is exactly divisible by each of the numbers.

Front

What is the definition of GCF (Greatest Common Factor)?

Back

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

Front

Find the LCM of 18 and 24.

Back

72

Front

Jenny goes to karate class every 12 days and to the library every 18 days. On December 1st she went to both. When will she do both again?

Back

36 days later.

Front

What is the LCM of 6 and 10?

Back

30

Front

If Jane has 18 juice boxes, 24 bags of peanuts, and 36 apples, what is the greatest number of snack bags she can make?

Back

6 snack bags.

Front

How do you find the LCM using prime factorization?

Back

1. Factor each number into primes. 2. Take the highest power of each prime factor. 3. Multiply these together.

Front

What is the relationship between GCF and LCM?

Back

The product of the GCF and LCM of two numbers is equal to the product of the numbers.

Front

What is an example of a word problem involving GCF?

Back

If two friends have 20 and 30 candies, what is the largest number of equal candy bags they can make?

Front

What is an example of a word problem involving LCM?

Back

If a bus arrives every 15 minutes and a train every 20 minutes, when will they arrive together?