SOLUTION: what is smallest number exactly divisible by 16,18,45 ?

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Question 1088723: what is smallest number exactly divisible by 16,18,45 ?
Found 2 solutions by natolino_2017, Edwin McCravy:
Answer by natolino_2017(77)   (Show Source): You can put this solution on YOUR website!
the best method is by using Prime Decomposition:
16 = 2^4
18 = (2^1)(3^2)
45 = (3^2)(5^1)
So we need at least a 2^4, a 3^2 and a 5^1
x = (2^4)(3^2)(5^1) = 720
@natolino_
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


You want the least common multiple of 16,18 and 45.
List the prime factors smallest to largest, as 
compactly as possible, like below, then bring them
down to the bottom line and multiply them:

 16 = 2×2×2×2
 18 =       2×3×3
 45 =         3×3×5
-------------------
      2×2×2×2×3×3×5 = 720

Edwin
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