SOLUTION: what is the least common multiple and the greatest common factor of 125, 235 and 270?

Question 563995: what is the least common multiple and the greatest common factor of 125, 235 and 270?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The prime factorizations are

The numbers 2, 3, and 47 do not appear in all factorizations.
The only common factor is .
All three numbers are multiples of , but not of , or .
So, the greatest common factor is 5.
The factorization of a common multiple must contain at least
, , , and ,
all prime factors with the largest exponents.
The least common multiple is
LCM==317250
All the other common multiples are multiples of 317250.
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