LCM/GCF word problems

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder.

Front

What does LCM stand for?

Back

LCM stands for Least Common Multiple, which is the smallest number that is a multiple of two or more numbers.

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 factor they have in common.

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 multiple they have in common.

Front

Sara has 16 red flowers and 24 yellow flowers. What is the greatest number of bouquets she can make?

Back

The greatest number of bouquets she can make is 8 (GCF of 16 and 24).

Front

Peter has 18 oranges, 27 pears, and 12 bananas. What is the greatest number of fruit baskets he can make?

Back

The greatest number of fruit baskets he can make is 3 (GCF of 18, 27, and 12).

Front

Jenny goes to dance class every 6 days, karate class every 12 days, and to the library every 18 days. When will she do all three activities again?

Back

She will do all three activities again in 36 days (LCM of 6, 12, and 18).

Front

Radio station Z-100 gives away a $100 bill to every 100th caller and Jingle Ball tickets to every 40th caller. When will someone win both?

Back

Someone will win both after 200 callers (LCM of 100 and 40).

Front

The Math Counts Club has 20 cookies and 40 slices of pizza. What's the most number of students that could have been at the party?

Back

The most number of students that could have been at the party is 20 (GCF of 20 and 40).

Front

What is an example of a GCF problem?

Back

An example of a GCF problem is: 'Find the GCF of 30 and 45.' The GCF is 15.