1 Answer

Rimma · Answer 1 · 2023-05-15T16:03:24+0000

The LCD of the three denominators, (x-2), 5x, and 3x, is the smalles multiplier that is divisible on all three.

Factors of 5x => 5 * x

Factors of 3x => 3 * x

Factors of (x-2) => (x-2) * 1

Since 5x, and 3x, both have x, we can just rule out the first x, and multiply the rest

The LCD therefore is

$\begin{gathered} 5\cdot3\cdot x(x-2) \\ \Longrightarrow15x(x-2) \end{gathered}$

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