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

The $HCF$ and $LCM$ of two numbers are $36$ and $756$ respectively. Find the possible pair of numbers.

Three numbers which are co-prime to each other are such that the product of the first two is $551$ and that of the last two is $1073$. The sum of the three numbers is:

Find the least number of five digits which when divided by $63, 56$ and $42$ leaves remainder $1$ in each case.

Find the greatest number that will divide $964, 1238$ and $1400$ leaving remainders $41, 31$ and $51$ respectively.

The $LCM$ of $2^{2} \times 3^{2} \times 5 \times 11$,$2^{4} \times 3^{4} \times 5^{2} \times 7$,and $2^{5} \times 3^{3} \times 5^{2} \times 7^{2} \times 11$ is: