I need help finding the LCM of

(8+3w)
(64-9w^2)
(8-3w)

Since 64-9w^2 = (8+3w)(8-3w), THAT (written in either way) is the Least Common Multiple (LCM).

so all three have the same lcm? That was like a trick question!!

thanks

All three are factors of that LCM.

For 64-9w^2, the "other factor" is 1.
For (8 + 3w), the other factor is (8 - 3w). Etc.

Yes, it was somewhat a trick question.

Thank you.

To find the LCM (Least Common Multiple) of the given expressions, you first need to factorize each expression. Let's factorize each expression one by one:

Expression 1: (8 + 3w)
This expression is already in its simplest form.

Expression 2: (64 - 9w^2)
For this expression, we can rewrite it as a difference of squares:
(8 + 3w)(8 - 3w).

Expression 3: (8 - 3w)
This expression is also in its simplest form.

Now that we have factorized each expression, we can proceed to find the LCM.

The LCM is the product of the highest powers of each distinct factor in the factorized expressions. Since we only have one distinct factor, which is (8 + 3w), the LCM would simply be (8 + 3w).

Therefore, the LCM of the given expressions is (8 + 3w).