\left. \begin{array} { c } { 1000 } \\ { t } \\ { 100 } \\ { 360 } \\ { 460 } \end{array} \right.
Least Common Multiple
207000t
Evaluate
1000,\ t,\ 100,\ 360,\ 460
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1000=2^{3}\times 5^{3} 100=2^{2}\times 5^{2} 360=2^{3}\times 3^{2}\times 5 460=2^{2}\times 5\times 23
Factor the expressions that are not already factored.
207000t
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}