Three numbers are in the ratio $1:2:3$ and their $HCF$ is $12$. The numbers are

$A$ merchant has $435$ litres,$493$ litres,and $551$ litres of three different kinds of milk. Find the least number of casks of equal size required to store all the milk without mixing.

The $HCF$ of two numbers is $23$ and the other two factors of their $LCM$ are $13$ and $14.$ Then the larger of the two numbers is

$L.C.M.$ and $H.C.F.$ of two numbers $x$ and $y$ are $315$ and $3,$ respectively. If $x+y=36,$ the value of $\frac{1}{x}+\frac{1}{y}$ is

Philip, Tom, and Brad start jogging around a circular field and complete a single round in $18\, \text{seconds}$, $22\, \text{seconds}$, and $30\, \text{seconds}$, respectively. In how much time will they meet again at the starting point?

Find the largest number of four digits exactly divisible by $14, 24, 27$ and $32$.