SOLUTION: three travelers meet whenever they are all in los angeles at the same time. One traveler visits every 24 days, the second visits every 36 days. and the third visits every 54 days.

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Question 471293: three travelers meet whenever they are all in los angeles at the same time. One traveler visits every 24 days, the second visits every 36 days. and the third visits every 54 days. if they meet today, how many days will pass before they meet again?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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three travelers meet whenever they are all in los angeles at the same time.
One traveler visits every 24 days, the second visits every 36 days. and the third visits every 54 days.
if they meet today, how many days will pass before they meet again?
:
Prime factor the three intervals
24: 2 * 2 * 2 * 3
36: 2 * 2 * 3 * 3
54: 2 * 3 * 3 * 3
:
LCM: 2 * 2 * 2 * 3 * 3 * 3 = 216 days