Problema Solution

Three travelers meet whenever they are all in Los Angeles on the same day. One traveler visits Los Angeles every 12 days, the second every 18 days and the third every 27 days. If they are all in Los Angeles today and have met, how many days will pass before the meet next at the same place?

Answer provided by our tutors

We need to find the least common measure for 12, 18 and 27:

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click here to see the calculation of LCM(12, 18, 27)

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LCM(12, 18, 27) = 108

Next time the travelers meet at the same place will be after 108 days.