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Q. The least perfect square which is divisible by each of 21, 36 and 66 is = ?
L.C.M. of (21, 36, 66) = 21 × 12 × 11 = 7 × 3 × 4 × 3 × 11 = 7 × 3 × 2 × 2 × 3 × 11 For perfect square multiply by 7 × 11 So that pairs of number from perfect square ∴ 7 × 7 × 3 × 3 × 2 × 2 × 11 × 11 Required result is = 213444 (which is a perfect square)
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