SOLUTION: The GCF (greatest common factor) of 84 and another number, y, is 42. Their LCM (least common multiple) is 252. Determine the value of y.

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Question 254470: The GCF (greatest common factor) of 84 and another number, y, is 42. Their
LCM (least common multiple) is 252. Determine the value of y.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
given 84 has factors :2*2*3*7
gcf 42 has factors :2,3,7
lcm 252 has factors 2*2*3*3*7
given has only one 3 but lcm has 3*3
gcf says that 2 and 7 are in both
y=3*3*2*7
y=126