Question 1148067: Greatest Common Divisors and Least Common Multiples
I need help with this guys, please. It is the final problem in this section and I am struggling. Thank you in advance!
Question Help
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=2 Superscript 1 Baseline x 3 Superscript 1 Baseline x 7cubed
21•31•73, b=2 squared x 3 squared x 7 Superscript 1
22•32•71, and c=2cubed x 5 squared x 7 Superscript 1
23•52•71, 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
Answer by Alan3354(69443)   (Show Source):
|
|
|
