Find the LCM of Denominators: 2, 7, and 9 - Step-by-Step Solution

To find the least common multiple (LCM) of the denominators $2, 7, 9$, we need to consider each prime factor of these numbers at their highest power:

• $2$: prime itself

• $7$: prime itself

• $9 = 3^2$

Therefore, the LCM is:

$2 \times 7 \times 3^2 = 126$

So, the least common multiple of $2, 7, 9$ is $126$.