Answer:
36 = 2 × 2 × 3 × 3
56 = 2 × 2 × 2 × 7
LCM = 2 × 2 × 2 × 3 × 3 × 7 = 2³3²7
Find the smallest natural numbers a, b, and c such that (2³a)(3²b)(7c) is a perfect square.
a = 2, b = 1, c = 7
We have 2⁴3²7² = 16(9)(49) = 7,056.
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