Find the least number of square tiles required to pave the ceiling of a hall $17 \, m \, 55 \, cm$ long and $8 \, m \, 10 \, cm$ broad.

Find the greatest number which will divide $3962, 4085$ and $4167$ leaving the same remainder in each case.

Three pieces of timber $42 \ m$,$49 \ m$,and $63 \ m$ long have to be divided into planks of the same length. What is the greatest possible length of each plank (in $m$)?

Given: $\sqrt[3]{4}, \sqrt{3}, \sqrt[6]{25}$ and $\sqrt[12]{289},$ the greatest and least of them are respectively

The $LCM$ of two prime numbers $x$ and $y$ $(x > y)$ is $161$. Find the value of $(3y - x)$.

Amit,Sucheta,and Neeti start running around a circular track and complete one round in $18 \text{ seconds}$,$24 \text{ seconds}$,and $32 \text{ seconds}$,respectively. In how many seconds will the three meet again at the starting point if they all started running at the same time?