GCF, LCM, and Distributive Property

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 multiple that is exactly divisible by 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

What is the GCF of 18 and 12?

Back

The GCF of 18 and 12 is 6.

Front

What is the LCM of 4 and 5?

Back

The LCM of 4 and 5 is 20.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

Use the distributive property: 3(4 + 5). What is the result?

Back

The result is 27, because 3(4 + 5) = 3*4 + 3*5 = 12 + 15.

Front

List the factors of 12.

Back

The factors of 12 are 1, 2, 3, 4, 6, and 12.

Front

List the first 5 multiples of 3.

Back

The first 5 multiples of 3 are 3, 6, 9, 12, and 15.