Answer
$10x^3(x+7)(x-4)(x-3)$
Work Step by Step
The given expressions are equivalent to
\begin{array}{l}\require{cancel}
\dfrac{1}{5x^3}
,\\\\
\dfrac{4}{(x+7)(x-4)}
\text{ and ,}
\\\\
\dfrac{11}{10x(x-3)}
.\end{array}
Hence, the $LCD$ of the given expressions is
\begin{array}{l}\require{cancel}
10x^3(x+7)(x-4)(x-3)
.\end{array}