$A, B$ and $C$ start at the same time in the same direction to run around a circular stadium. $A$ completes a round in $252 \text{ seconds}$,$B$ in $308 \text{ seconds}$ and $C$ in $198 \text{ seconds}$,all starting at the same point. After what time will they next meet at the starting point again?

• A
  $46 \text{ minutes } 12 \text{ seconds}$
• B
  $45 \text{ minutes}$
• C
  $42 \text{ minutes } 36 \text{ seconds}$
• D
  $26 \text{ minutes } 18 \text{ seconds}$