Lines

Five bus lines runs at intervals 3, 6, 9, 12, 15 minutes. In the morning, suddenly start at 4:00. After how many minutes the bus lines meet again?


Correct result:

x =  180 min

Solution:

3=3 6=23 9=33 12=223 15=35  x=322251=180 min3 = 3 \ \\ 6 = 2\cdot 3 \ \\ 9 = 3\cdot 3 \ \\ 12 = 2\cdot 2\cdot 3 \ \\ 15 = 3\cdot 5 \ \\ \ \\ x = 3^{ 2}\cdot 2^{ 2}\cdot 5^{ 1} = 180 \ \text{min}



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