Lowest Common MultipleBernadeta Tan Galea

Sto. Rosario Elementary School

Pateros District

Tapat Division

Multiples that are common to two or more numbers are said to be common multiples

• Ex.. Multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, …

     Multiples of 3 are 3, 6, 9, 12, 15, 18, …• So, common multiples of 2 and 3 are

6, 12, 18, 

The smallest common multiple of two or more numbers is called the lowest common multiple (LCM).

Multiples of 8 are 8, 16, 24, 32, …

Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, …

Example 2

• 3. Motivation• Daisy was asked to draw these different shapes

on the black board.

Example 3

• Find the lowest common multiple of 6 and 9.Solution:List the multiples of 9 and stop when you find a multiple of 6.Multiples of 9 are 9, 18, …Multiples of 6 are 6, 12, 18, …

Example 4• Find the lowest common multiple of 5, 6 and 8.

Solution:List the multiples of 8 and stop when you find a multiple of both 5 and 6.Multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, …Stop at 120 as it is a multiple of both 5 and 6.So, the LCM of 5, 6 and 8 is 120.

Things to remember:

To find the lowest common multiple (LCM) of two or more numbers, list the multiples of the larger number and stop when you find a multiple of the other number.  This is the LCM.

Find the LCM of the following given number

1. 6 and 8

2. 10 and 4

3. 8 and 10

4. 9 and 4

5. 12 and 16

Assignment:

Find the LCM of the following set of numbers.

1) 8, 12 , 30 2) 18, 27, 35 3)9, 12,18

4) 12, 20, 45 5) 4, 10, 8

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