Solve {l}{x*60*20*10*8*1*9*3}{27*20*60*20*10*2*8*4}{20*60*20*10*2*8*4*27}{60*20*10*8*1*9*3}

$$\left. \begin{array} { l } { x \times 60 \times 20 \times 10 \times 8 \times 1 \times 9 \times 3 } \\ { 27 \times 20 \times 60 \times 20 \times 10 \times 2 \times 8 \times 4 } \\ { 20 \times 60 \times 20 \times 10 \times 2 \times 8 \times 4 \times 27 } \\ { 60 \times 20 \times 10 \times 8 \times 1 \times 9 \times 3 } \end{array} \right.$$

Least Common Multiple

$$414720000x$$

Solution Steps

Factor the expressions that are not already factored.

$$414720000=2^{13}\times 3^{4}\times 5^{4} 414720000=2^{13}\times 3^{4}\times 5^{4} 2592000=2^{8}\times 3^{4}\times 5^{3}$$

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

$$414720000x$$

Evaluate

$$2592000x,\ 414720000,\ 414720000,\ 2592000$$