The H.C.F. of two numbers is $17$ and their product is $3094$. Find their L.C.M. 

A mason lays square tiles on a wall 8 metres by $12$ metres. Find the largest size of square tile, that he can fit in the wall without cutting a whole tile.
$\boxed{ }m\times \boxed{ }m$

Three frogs start hopping on leaves in a pond. The three jump on intervals of $9,12$ and $15$ leaves respectively. If they start hopping together from the same leaf, on which leaf do they meet again?
_____${}^{\mathrm{th}}$ leaf.

The length, breadth and height of a hall are $16 \mathrm{m}, 12 \mathrm{m}$ and $8 \mathrm{m}$. Determine the length of the longest measuring tape which can exactly measure the three dimensions of the room.
_____$\mathrm{m}$