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Greatest Common Factor and Least Common Multiple
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GMAT
GMAT.041 Greatest Common Factor and Least Common Multiple
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Three camera systems reset every 18 hours, 27 hours, and 54 hours. If all reset at the same time, which method gives the next simultaneous reset?
A
Find GCF(18, 27, 54) = 9; use it as the first shared repeat time.
B
Find LCM(18, 27, 54) = 54; use it as the first time all cycles repeat together.
C
Add the intervals to get 99 hours; use that sum as the next simultaneous time.
D
Multiply the intervals to get 26244; any product of the periods gives the first repeat.
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