\left. \begin{array} { l } { \text { (a) } 15,21,18,26,30 } \\ { \text { (c) } 36,14,17,42,101,36 } \end{array} \right.
Least Common Multiple
28124460ac
Evaluate
15a,\ 21,\ 18,\ 26,\ 30,\ 36c,\ 14,\ 17,\ 42,\ 101,\ 36
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21=3\times 7 18=2\times 3^{2} 26=2\times 13 30=2\times 3\times 5 14=2\times 7 42=2\times 3\times 7 36=2^{2}\times 3^{2}
Factor the expressions that are not already factored.
28124460ac
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}