What is the smallest number that has 2,3,4,5 and 6 as factors

Number  Factorization    How many 2's   How many 3's   How many 5's
  2         2                  1              0              0
  3 =       3                  0              1              0
  4 =     2·2                  2              0              0
  5 =       5                  0              0              1
  6 =     2·3                  1              1              0

So the most number of 2's any one of them has is 2.
   the most number of 3's any one of them has is 1.
   the most number of 5's any one of them has is 1.

So the least common multiple of 2,3,4,5,and 6, has 2 2's, 1 3, and 1 5

LCM = 2·2·3·5 = 60

Edwin


 

Answer by dfollett76(12)   (Show Source): You can put this solution on YOUR website!
 Notice that anything divisible by 6 is also divisible by 2 and 3 since 6=2*3.



And anything divisible by 6 and 2 is divisible by 4.



Here's a video explanation:

http://www.screenchomp.com/t/JTTSHtJm6uYR 

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