\left. \begin{array} { l } { ( - 5 x - 8 ) ( - 9 x - 5 ) } \\ { ( - 7 x + 2 ) ( - 9 x - 6 ) } \\ { ( 8 x - 10 ) ( 2 x - 7 ) } \end{array} \right.
Least Common Multiple
45360x^{6}-100404x^{5}-279138x^{4}+172698x^{3}+309384x^{2}+22200x-33600
Evaluate
45x^{2}+97x+40,\ 63x^{2}+24x-12,\ 16x^{2}-76x+70
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45x^{2}+97x+40=\left(5x+8\right)\left(9x+5\right) 63x^{2}+24x-12=3\left(7x-2\right)\left(3x+2\right) 16x^{2}-76x+70=2\left(2x-7\right)\left(4x-5\right)
Factor the expressions that are not already factored.
37632000\left(2x-7\right)\left(4x-5\right)\left(7x-2\right)\left(3x+2\right)\left(9x+5\right)\left(\frac{x}{1254400}+\frac{1}{784000}\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.
45360x^{6}-100404x^{5}-279138x^{4}+172698x^{3}+309384x^{2}+22200x-33600
Expand the expression.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}