Question 35

Find the smallest square number from amongthe given option whichis divisible by each
of 8, 15 and 20.

Solution

LCM of 8,15, and 20.

$$8=2\times2\times2$$

$$15=3\times 5$$

$$20=2\times2\times 5$$

LCM = $$2\times2\times2\times3\times5=120$$

2, 3, 5 are not in pairs, So we need to make them in pairs for smallest square number.

$$120\times2\times3\times5=120\times30=3600 $$

Option A is correct.

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