To find the product of \(38\) and \(-23\):
\[ 38 \times (-23) = -874 \]
Now we need to reduce the answer into lowest terms, but since \(-874\) is an integer already, we don’t have fractions to simplify.
The answer is \(-874\).
However, since there seems to be a misunderstanding with the provided choices, it appears none of the options match the calculated result.
If the question is only looking for the product of \(38\) and \(-23\), the correct final answer is:
\(-874\)