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LCM (Least Common Multiple)

Lets find LCM of 12, 38 and 56

Since the numbers are smaller then 100 we can determine LCM by dividing by 2,3, 5 and 7

Let's start with 2 and divide it till you get 1 as remainder

 

2 |12  , 38,  56

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2 | 6  ,  19  , 28

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 2 | 3   , 19,   14

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3 | 3,     19,     7

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7 |  1,    19,    7

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19 |  1,   19,   1

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    |   1,     1,    1 

 

Here we have used prime numbers to reduce it to 1,1,1 . LCM is 2 x 2 x 2 x 3 x 7 x 19 = 3192

 

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