Solve {l}{2da,25,50,84,100,110}{operatorname{cad}a,60,120,180,320}

$$\left. \begin{array} { l } { 2 d a , 25,50,84,100,110 } \\ { \operatorname { cad } a , 60,120,180,320 } \end{array} \right.$$

Least Common Multiple

$$1108800cda^{2}$$

Solution Steps

Factor the expressions that are not already factored.

$$25=5^{2} 50=2\times 5^{2} 84=2^{2}\times 3\times 7 100=2^{2}\times 5^{2} 110=2\times 5\times 11 60=2^{2}\times 3\times 5 120=2^{3}\times 3\times 5 180=2^{2}\times 3^{2}\times 5 320=2^{6}\times 5$$

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

$$1108800cda^{2}$$

Evaluate

$$2ad,\ 25,\ 50,\ 84,\ 100,\ 110,\ cda^{2},\ 60,\ 120,\ 180,\ 320$$