The least multiple of $7,$ which leaves a remainder of $4,$ when divided by $6, 9, 15,$ and $18$ is

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

The greatest number that divides $411, 684,$ and $821$ and leaves $3, 4,$ and $5$ as remainders,respectively,is

In four consecutive prime numbers that are in ascending order,the product of the first three is $385$ and that of the last three is $1001$. The largest given prime number is

There are five bells which start ringing together at intervals of $3, 6, 9, 12$ and $15$ seconds respectively. In $36$ minutes,how many times will the bells ring simultaneously?

Three different containers contain different quantities of a mixture of milk and water,measuring $403 \ kg$,$434 \ kg$,and $465 \ kg$. What is the largest measure that can measure all these quantities exactly? (in $kg$)