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) andLCM(a, b, c).(a) If a = 32 .52 .73, b = 33.51.71, and c= 22 .53.7', compute GCD(a, b, c) and LCM(a, b, c).(b)ls 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.(a) GCD(a, b, c) = |LCM(a, b, c) =(b) Choose the correct answer below.O A. Yes. Since the GCD is found using the larger exponents and the LCM is found using the smaller exponents, it must be true that GCD(a, b, c)• LCM(a, b, c) = abc.O B. Yes. It is shown in part (a) that GCD(a, b, c) • LCM(a, b, c) = abc.OC. Yes. Since the GCD is found using the smaller exponents and the LCM is found using the larger exponents, it must be true that GCD(a, b, c)• LCM(a, b, c) = abc.D.No it is not necessarily true that GCD(a b c)•I CM(a b c) = abcOO C (c) Choose the correct answer below.O A. r=3, s=5, t=7O B. r= 3, s =9, t= 5O C. r=8, s=2, t= 8O D. r=7, s= 3, t= 7

Note: As per Bartleby’s guideline for more than one questions only first is to be answered please…

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) ar LCM(a, b, c). (a) If a = 32 . 52 . 73 b = 33 .51 . 7', and c = 22 • 53 .71, compute GCD(a, b, c) and LCM(a, b, c). (b)ls 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.

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) ar LCM(a, b, c). (a) If a = 32 . 52 . 73 b = 33 .51 . 7', and c = 22 • 53 .71, compute GCD(a, b, c) and LCM(a, b, c). (b)ls 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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 92E

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