Will the number $5670312$ be divisible by $6$ or $12$ or $15$.

The length, breadth and height of a room are $9 \mathrm{m} 52 \mathrm{cm}, 5 \mathrm{m} 24 \mathrm{cm}$ and $4 \mathrm{m} 12 \mathrm{cm}$ respectively. If the length of the longest tape is $\mathrm{x} \mathrm{cm}$, find the length of the longest tape which can measure the dimensions of the room exactly.