Solve lcm(20,45,10)

$$lcm(20,45,10)$$

Evaluate

$$180$$

Solution Steps

Factor the expressions that are not already factored.

$$20=2^{2}\times 5 45=3^{2}\times 5 10=2\times 5$$

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

$$2^{2}\times 3^{2}\times 5$$

Expand the expression.

$$180$$

Factor

$$2^{2}\times 3^{2}\times 5$$