Solve {l}{646^2}{64a^2-12}{64a^2-3}

$$\left. \begin{array} { l } { 646 ^ { 2 } } \\ { 64 a ^ { 2 } - 12 } \\ { 64 a ^ { 2 } - 3 } \end{array} \right.$$

Least Common Multiple

$$427331584a^{4}-100155840a^{2}+3755844$$

Solution Steps

Factor the expressions that are not already factored.

$$417316=2^{2}\times 17^{2}\times 19^{2} 64a^{2}-12=4\left(16a^{2}-3\right)$$

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

$$417316\left(16a^{2}-3\right)\left(64a^{2}-3\right)$$

Expand the expression.

$$427331584a^{4}-100155840a^{2}+3755844$$

Evaluate

$$417316,\ 64a^{2}-12,\ 64a^{2}-3$$