Finding the Lowest Common Multiple (LCM)

Find the lowest common multiple of \(40\) and \(105\).

Find the lowest common multiple of \(16,22\) and \(28\).

The numbers \(87750\), \(28000\) and \(175175\) written as the products of their prime factors, are \(87750=2\times {{3}^{3}}\times {{5}^{3}}\times 13\), \(28000={{2}^{5}}\times {{5}^{3}}\times 7\) and \(175175={{5}^{2}}\times {{7}^{2}}\times 11\times 13\). Hence, find the smallest positive integer that is divisible by \(87750\), \(28000\) and \(175175\) exactly.