Find the LCM of Denominators: Calculating LCM(10, 15, 25)

Question

Given several denominators, what is their least common multiple?

$\boxed{10}~~~\boxed{15} ~~~\boxed{25}$

To find the least common multiple (LCM) of $10$ , $15$ , and $25$ , we first find their prime factorizations:

$10 = 2 \, \times \, 5$

$15 = 3 \, \times \, 5$

$25 = 5^2$

The LCM is found by multiplying the highest powers of every prime number: $2^1$

LCM = $2 \, \times \, 3 \, \times \, 25 = 6 \, \times \, 25 = 150$ .

150