Answer :

(i) 6, 9, 15 and 20

L.C.M of given 4 numbers is 180

180 = 2^{2} × 3^{2} × 5

To make it a perfect square, we have to multiply the number with 5

Therefore,

180 × 5 = 2^{2} × 3^{2} × 5^{2}

900 is the least square number divisible by 6, 9, 15 and 20

3600 is the least square number divisible by 8, 12, 15 and 20

(ii) 8, 2, 15 and 20

L.C.M of given 4 numbers is 360

360 = 2^{2} × 3^{2} ×2 × 5

To make it a perfect square, we have to multiply the number with 2 × 5 = 10

Therefore,

360 × 10 = 2^{2} × 3^{2} × 5^{2} × 2^{2}

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