Solve {l}{-8a+4b-2c}{64a+16b+4c}{12a+4b+c}

$$\left. \begin{array} { l } { - 8 a + 4 b - 2 c } \\ { 64 a + 16 b + 4 c } \\ { 12 a + 4 b + c } \end{array} \right.$$

Least Common Multiple

$$4\left(4a-2b+c\right)\left(12a+4b+c\right)\left(16a+4b+c\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$-8a+4b-2c=2\left(-4a+2b-c\right) 64a+16b+4c=4\left(16a+4b+c\right)$$

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

$$4\left(4a-2b+c\right)\left(12a+4b+c\right)\left(16a+4b+c\right)$$

Expand the expression.

$$3072a^{3}-640ab^{2}+352abc+128ac^{2}-128b^{3}+256ba^{2}+24bc^{2}+4c^{3}+1216ca^{2}$$

Evaluate

$$-8a+4b-2c,\ 64a+16b+4c,\ 12a+4b+c$$