What is the LCM of 36 and 56 that is Also a square number

Question

asked Apr 13, 2024 159k views

1 Answer

DDR · Answer 1 · 2024-04-18T12:58:25+0000

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.