Find the smallest square number that is divisible by each of the number 8,12,18 and 30

Question

Mathematics

Guest

17 February, 10:33

Find the smallest square number that is divisible by each of the number 8,12,18 and 30

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Answers (1)

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Santiago Rivers · Answer 1

3600.

Step-by-step explanation:

8 = 2*2*2

12 = 2*3

18 = 2*3*3

30 = 2*3*5

The lowest common multiple of the these is

2 * 2 * 2 * 3*3 * 5 = 360.

So the smallest square number = 2*2*2*2*3*3*5*5

(We make all the sets of factors a square).

So it's 16 * 9 * 25 = 3600.