Solve {l}{m^2n^2+14m}{npq+4gp^2}{q^2}

$$\left. \begin{array} { l } { m ^ { 2 } n ^ { 2 } + 14 m } \\ { n p q + 4 g p ^ { 2 } } \\ { q ^ { 2 } } \end{array} \right.$$

Least Common Multiple

$$mpq^{2}\left(nq+4gp\right)\left(mn^{2}+14\right)$$

Solution Steps

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

$$mpq^{2}\left(nq+4gp\right)\left(mn^{2}+14\right)$$

Expand the expression.

$$4gm^{2}n^{2}p^{2}q^{2}+14mnpq^{3}+56gmp^{2}q^{2}+pm^{2}n^{3}q^{3}$$

Evaluate

$$m\left(mn^{2}+14\right),\ p\left(nq+4gp\right),\ q^{2}$$