$A$ room is $4\, m\, 37\, cm$ long and $3\, m\, 23\, cm$ broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose.

If the $L.C.M.$ and $H.C.F.$ of two expressions are $(x^{2}+6x+8)(x+1)$ and $(x+1)$ respectively, and one of the expressions is $x^{2}+3x+2$, find the other.

What is the $L.C.M.$ of $25, 30, 35$ and $40$?

Two pipes of length $1.5\, m$ and $1.2\, m$ are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of same size which can be cut from these two lengths will be (in $metre$)

Find the greatest number that will divide $390, 495,$ and $300$ without leaving a remainder.

Find the greatest number that will divide $43, 91$ and $183$ so as to leave the same remainder in each case.