\left. \begin{array} { l } { \text { LA } } \\ { \text { 95. } } \\ { \text { 45. } } \\ { \text { 45. } } \\ { \text { 38 } } \\ { \text { 45. } } \end{array} \right.
Least Common Multiple
1710AL
Evaluate
AL,\ 95,\ 45,\ 45,\ 38,\ 45
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95=5\times 19 45=3^{2}\times 5 45=3^{2}\times 5 38=2\times 19 45=3^{2}\times 5
Factor the expressions that are not already factored.
1710AL
Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.
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}