Applications of Prime Factorisation in Number Problems

The numbers \(54\) and \(468\), written as the product of their prime factors, are \(54=2\times {{3}^{3}}\) and \(468={{2}^{2}}\times {{3}^{2}}\times 13\). Find

1. the smallest positive integer, \(m\) such that \(468m\) is a perfect square,
2. the largest integer, which is a factor of both \(54\) and \(468\),
3. the smallest positive integer, \(n\) such that \(54n\) is a multiple of \(468\).