Least Common Multiple (LCM)

​Least Common Multiple (LCM)

​6.PAR.6.2 Determine greatest common factors and least common multiples using a variety of strategies to make sense of applicable problems.

​Example
Hotdogs come in a package of 8 and buns in a package of 12. How many packages of hot dogs and packages of buns would you need to purchase to have an equal number of hot dogs and buns?

Least Common Multiple (LCM)
The least common multiple (LCM) is the smallest number that two or more numbers can divide into evenly.
KEY VOCABULARY

• Multiples-

  • products of a number when multiplied by 1, 2, 3, 4

• Least-

  • smallest, lowest

• Common-

  • the same number that appears in both numbers.

Multiple Choice

LCM stands for

• Least correct multiple
• Latest common multiple
• Least common multiple
• Laser classroom mouse

Example:

Factor Tree

Multiple Choice

What are the 2 methods we can use to find the LCM of numbers?

• Addition and Multiplication

• Subtraction and Division

• Listing Method and Prime Factorization Method

Multiple Choice

Complete the prime factorization of 16.

2 x 2 x 2 x _

• 5

• 2

• 3

Multiple Choice

Find the LCM of 10 and 30.

• 40

• 20

• 30

Multiple Choice

What is the LCM of 21 and 14?

• 42

• 32

• 72

Multiple Choice

LCM of 18 and 14.

• 126

• 130

• 150

Find the LCM of the given numbers by LISTING MULTIPLES.

​1) 3, 4






2) 8, 9







3) 12, 9

4) 15, 20







5) 4, 8, 12