\left\{ \begin{array} { l } { x ^ { 2 } + 2 y + 3 z } \\ { 5 x ^ { 2 } + 3 y + 20 z } \\ { 3 x ^ { 2 } + 4 y + 8 z } \end{array} \right.
Least Common Multiple
\left(3x^{2}+4y+8z\right)\left(5x^{2}+3y+20z\right)\left(x^{2}+2y+3z\right)
Evaluate
x^{2}+2y+3z,\ 5x^{2}+3y+20z,\ 3x^{2}+4y+8z
Share
Copied to clipboard
\left(3x^{2}+4y+8z\right)\left(5x^{2}+3y+20z\right)\left(x^{2}+2y+3z\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.
15x^{6}+70x^{2}y^{2}+460x^{2}z^{2}+24y^{3}+59yx^{4}+632yz^{2}+391yzx^{2}+480z^{3}+145zx^{4}+244zy^{2}
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}