1 / 6

# Least Common Multiples - PowerPoint PPT Presentation

Least Common Multiples. Multiples. Multiples are the product of a number and any whole number. LCM- least common multiple- the least multiple common to all numbers. Find by: List the multiples Ex 1: 6 and 9: 6: 6,12,18,24,30, 36,42,48 9: 9,18,27,36, 45,54,63,72,81 LCM: 18.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' Least Common Multiples' - susan

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Least Common Multiples

• Multiples are the product of a number and any whole number.

• LCM- least common multiple- the least multiple common to all numbers.

• Find by:

• List the multiples

• Ex 1: 6 and 9:

• 6: 6,12,18,24,30, 36,42,48

• 9: 9,18,27,36, 45,54,63,72,81

• LCM: 18

• Ex. 2: Find by method 2:

• Find the prime factorization of two numbers. Write each prime factor the greatest number of times it occurs for any of the digits.

• 4,14: 4= 2x2; 14= 2x7: So 2 occurs twice, 7 occurs once:

• So 2x2x7=28, 28 is the least common multiple.

• Finding LCM of algebraic terms:

• Ex:3

• 35x^2 and 175xy

• 35x^2= 5*7*x*x 175 = 7*5*5*x*y

• LCM=5*5*7*x*x*y

• The LCD will be the LCM of the Denominator:

• Ex. 4:

• 1/12, -3/16, 5/18

• Find LCM of 12, 16,18:

• 12=2*3*2

• 16=2*2*2*2

• 18=2*3*3

• Multiply 2*2*2*2*3*3=144

• Ex. 5: Find LCD for the following

• 6c/5b; 2c/15b, 7c/25b

• 5b=5*b

• 15b=3*5*b

• 25b=5*5*b

• 3*5*5*b=75b

• LCD is 75b

• DO 1-10 in notebook now.