# 5.4 - Least Common Multiple

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Information about 5.4 - Least Common Multiple

Published on May 14, 2008

Author: mrwilliams

Source: slideshare.net

## Description

http://mrwilliams.edublogs.org

5.4  Least Common Multiple Objective: Find the  least common multiple . Image: 'So many ducks...' www.flickr.com/photos/43078695@N00/298160420 Mr. Williams GESD jwilliams@gesd40.org 1

Vocabulary Multiple  ­ the product of the number and any non zero whole number.  Common Multiple  ­ a multiple shared by two or more numbers. Least Common Multiple (LCM)  ­ the smallest common multiple of two numbers. 2

Multiples (Multiply) Skip Counting Multiples of: 5:  5,  10,  15,  20,  25,  30,  35... 8:  8,  16,  24,  32,  40,  48,  56... 12: 12,  24,  ___,  ___,  ___,  ___...   3

Common Multiples are just shared multiples. Numbers that  both sets have in common. 2:  2,  4,  6,  8,   10 ,  12,  14,  16,  18,   20 ,  22,  24,  26,  28,   30 ... 5:  5,   10 ,  15,   20 ,  25,   30 ... Common Multiples: 10, 20, 30... The Least Common Multiple is just the smallest of the  common multiples. So the LCM of 2 and 5 is 10. 4

Finding LCM using Prime Factors 42 60 10 6 6 7 2 5 2 3 2 3 PF = 2 x 3 x 7 PF = 2 x 2 x 3 x 5 PF =  2 x  3 x  7 PF =  2 x  2 x  3 x  5 LCM =  2  x  2 x  3 x  5 x  7 LCM = 420 5

Video Review http://www.unitedstreaming.com/videos/11438/sec11923_256k.asf 6

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