SOLUTION: Four boys step off from the same place. If their steps measure 16cm, 28, 40, 77 respectively at what time will they next toll together?

Question 989710: Four boys step off from the same place. If their steps measure 16cm, 28, 40, 77 respectively at what time will they next toll together?

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
I assume each boy takes 1 step per second
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we want the least common multiple(LCM) of the prime factorization of each boy's step,
2^4, (2^2)*(7^1), (2^3)*(5^1), (7^1)*(11^1) are the prime factorizations of each boy's step
now we select,
2^4, 7^1, 5^1, 11^1 and multiply them to get 6160 cm's
now divide 6160 by each boys step
6160 / 16 = 385 steps or 385 seconds
6160 / 28 = 220 steps or 220 seconds
6160 / 40 = 154 steps or 154 seconds
6160 / 77 = 80 steps or 80 seconds
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if we divide 385 by 60 seconds in a minute we discover that all the boys will be together again in 6 minutes and 25 seconds

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