The notions of the greatest common divisor and the least common multiple extend naturally to more than two numbers. Moreover,

Question

The notions of the greatest common divisor and the least common multiple extend naturally to more than two numbers. Moreover, the prime-factorization method
extends naturally to finding GCD(a, b, c) and LCM(a, b, c).
(a) If a = 32.51-7¹, b = 33.52.73, and c=2¹.33.52, compute GCD(a, b, c) and LCM(a, b, c).
(b) Is it necessarily true that GCD(a, b, c) LCM(a, b, c) = abc?
(c) Find numbers r, s, and t such that GCD(r, s, t) LCM(r, s, t) = rst.

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