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

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Question 786566: What is the smallest number that has 2,3,4,5 and 6 as factors ?
Found 2 solutions by Edwin McCravy, dfollett76:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
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) About Me  (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