Solve {l}{(-10m^{9}-4m^{8}-12m^{6})div2m^4}{OA-5m^5-2m^4-12m^6}

$$\left. \begin{array} { l } { ( - 10 m ^ { 9 } - 4 m ^ { 8 } - 12 m ^ { 6 } ) \div 2 m ^ { 4 } } \\ { O A - 5 m ^ { 5 } - 2 m ^ { 4 } - 12 m ^ { 6 } } \end{array} \right.$$

Least Common Multiple

$$\left(6AO+2AOm^{2}+5AOm^{3}-12m^{4}-30m^{5}-76m^{6}-20m^{7}-49m^{8}-60m^{9}\right)m^{10}$$

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.

$$\left(6AO+2AOm^{2}+5AOm^{3}-12m^{4}-30m^{5}-76m^{6}-20m^{7}-49m^{8}-60m^{9}\right)m^{10}$$

Expand the expression.

$$-60m^{19}-49m^{18}-20m^{17}-76m^{16}-30m^{15}-12m^{14}+5AOm^{13}+2AOm^{12}+6AOm^{10}$$

Evaluate

$$-5m^{13}-2m^{12}-6m^{10},\ AO-2m^{4}-5m^{5}-12m^{6}$$