1 / 6

70 likes | 237 Views

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.

Download Presentation
## Least Common Multiples

**An Image/Link below is provided (as is) to download presentation**
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.
Content is provided to you AS IS for your information and personal use only.
Download presentation by click this link.
While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

**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.**Uses of LCM**• 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**LCD: Least Common Denominator**• 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**You can also used the LCD for ALGEBRAIC fractions**• 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.

More Related