SOLUTION: Two subway trains run though a station. One train goes through the station every 44 minutes and the other train goes through the station every 28 minutes. If they just went through

Question 1015366: Two subway trains run though a station. One train goes through the station every 44 minutes and the other train goes through the station every 28 minutes. If they just went through the station at the same time, how many minutes will it be until the next time they are both at the station at the same time?
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Would you have to find the LCM? I'm not sure what to do exactly so that's why I'm asking this here. Thanks to anyone who can help! :)
Found 2 solutions by FrankM, macston:
Answer by FrankM(1040) (Show Source): You can put this solution on YOUR website!
Yes, LCM is 308
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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The answer is the least common multiple.
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Find prime factors:
44 = 2 x 2 x 11
28 = 2 x 2 x 7
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The factor 2 is used twice at most, 7 and 11 each once at most:
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2 x 2 x 7 x 11 = 308
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ANSWER: They will both be at the station at the same time in 308 minutes.

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