Three buses

Three public transport buses depart together from the bus station in the morning. The first bus was returning to the station after 18 minutes, the second after 12 minutes and a third after 24 minutes. How long will again together on the station? Result express in hours and minutes.

Result

m =  72 min
h = 1:12 hh:mm

Solution:

$$\begin{gathered} 18=2\cdot 3^2 \\ 12=2^2\cdot 3 \\ 24=2^3\cdot 3 \\ LCM(18,12,24)=2^3\cdot 3^2=72 \\ m=72\text{ min} \end{gathered}$$

$h=m\mathrm{/}60=1.2h=1:12\text{ hh}:\text{mm}$

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