For $2592$, find the smallest natural number by which it should be divided so that this quotient a perfect square. Also find the square root number so obtained.

For $3380$, find the smallest natural number by which it should be divided so that this quotient is a perfect square. Also find the square root number so obtained.

For $16244$, find the smallest natural number by which it should be divided so that this quotient a perfect square. Also find the square root number so obtained.

For $61347$, find the smallest natural number by which it should be divided so that this quotient a perfect square. Also find the square root number so obtained.

Find the smallest square number that is divisible by each of the following numbers: $3, 6, 10, 15$

Find the smallest square number that is divisible by each of the following numbers: $6, 9, 27, 36$

Find the smallest square number that is divisible by each of the following numbers: $4, 7, 8, 16$