\left. \begin{array} { l } { 4 a + 5 b + 6 a + 3 b } \\ { 4 b + 6 - 5 b + 2 } \\ { 6 m - 4 q + 4 q + 6 q } \end{array} \right.
Least Common Multiple
6\left(b-8\right)\left(m+q\right)\left(4b+5a\right)
Evaluate
2\left(4b+5a\right),\ 8-b,\ 6\left(m+q\right)
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10a+8b=2\left(5a+4b\right) 6m+6q=6\left(m+q\right)
Factor the expressions that are not already factored.
6\left(b-8\right)\left(m+q\right)\left(4b+5a\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.
30abm+24mb^{2}-240am-192bm+30abq+24qb^{2}-240aq-192bq
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}