1 / 6

Least Common Multiple (LCM)

Least Common Multiple (LCM). The smallest number, other than zero, that is a multiple of two or more given numbers. 3 Methods for finding the LCM. Method 1: Use a number line Ex. 3 & 4 Method 2: Use a list 3 : 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36

baxter-kemp
Download Presentation

Least Common Multiple (LCM)

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

Presentation Transcript

  1. Least Common Multiple(LCM) The smallest number, other than zero, that is a multiple of two or more given numbers

  2. 3 Methods for finding the LCM • Method 1: Use a number line Ex. 3 & 4 • Method 2: Use a list 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72 • Method 3: Use Prime Factorization Ex. 8 & 12 8 = 2 • 2 • 2 12 = 2 • 2 • 3 2 • 2 • 3 • 2 = 24 LCM of 8 & 12

  3. More Method 2 Examples: (2 numbers) • 2 & 8 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96 LCM = 8 • 4 & 10 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120 LCM = 20

  4. More Method 3 Examples: (2 numbers) • 4 & 9 4= 2 • 2 9= 3 • 3 3 • 3 • 2 • 2 = 36 • 6 & 10 6= 2 • 3 10= 2 • 5 2 • 5 • 3 = 30 * LCM for 4 & 9 is 36 * LCM for 6 & 10 is 30

  5. More Method 2 Examples: (3 numbers) • 2, 6, & 11 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121 LCM = 66 • 3, 8, & 12 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 LCM = 24

  6. More Method 3 Examples: (3 numbers) • 3, 7 & 10 3= 3 7= 7 10= 2•5 2•5 • 7 • 3 = 210 • 3, 6 ,& 9 3= 3 6= 3 • 2 9= 3 • 3 3 • 3 • 2 = 18 * LCM for 3, 7, & 10 is 210 * LCM for 3, 6, & 9 is 18

More Related