5.4 - Least Common Multiple

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Transcript of 5.4 - Least Common Multiple

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5.4  Least Common Multiple

Objective: Find the  least common multiple .

Mr. WilliamsGESD

[email protected]

Image: 'So many ducks...'www.flickr.com/photos/43078695@N00/298160420

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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.

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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,  ___,  ___,  ___,  ___...  

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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.

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Finding LCM using Prime Factors

42 60

7

3

6

2

PF = 2 x 3 x 7

10 6

2 32 5

PF = 2 x 2 x 3 x 5

PF =  2  x  2  x  3  x  5PF =  2  x  3  x  7

LCM =  2  x  2  x  3  x  5  x  7LCM = 420

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Video Review

http://www.unitedstreaming.com/videos/11438/sec11923_256k.asf

www.unitedstreaming.com/videos/11438/sec11923_256k.asf

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