LCM and GCF Review

Front

What are the factors of a number?

Back

Factors of a number are the integers that can be multiplied together to produce that number.

Front

How do you find the factors of 24?

Back

To find the factors of 24, list all integers that divide 24 without leaving a remainder: 1, 2, 3, 4, 6, 8, 12, 24.

Front

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

Back

The LCM of two or more numbers is the smallest multiple that is evenly divisible by all the numbers.

Front

How do you find the LCM of 3 and 7?

Back

List the multiples of each number: Multiples of 3: 3, 6, 9, 12, 15, 18, 21...; Multiples of 7: 7, 14, 21...; The LCM is 21.

Front

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

Back

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

Front

How do you find the GCF of 24 and 56?

Back

List the factors of each number: Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24; Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56. The GCF is 8.

Front

What is the process to find the LCM of 12 and 16?

Back

List the multiples of each number or use prime factorization. The LCM of 12 and 16 is 48.

Front

What is a multiple?

Back

A multiple of a number is the product of that number and an integer.

Front

How do you find the 4th multiple of 12?

Back

Multiply 12 by 4: 12 x 4 = 48.

Front

What is the relationship between LCM and GCF?

Back

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