Find the LCM of Denominators: 5, 6, and 15 - Step-by-Step Solution

To find the least common multiple (LCM) of the denominators $5, 6, 15$, we need to consider each prime factor of these numbers at their highest power:

• $5$: prime itself

• $6 = 2 \times 3$

• $15 = 3 \times 5$

Therefore, the LCM is:

$2 \times 3 \times 5 = 30$

So, the least common multiple of $5, 6, 15$ is $30$.