Repetitive digits

Logic Level 3

\[ \large{\begin{array}{ccccc} && & & &A \\ \times & & & &B &C\\ \hline & & & D & D&D \\ \end{array}} \]

\(A,B,C,D\) are distinct digits that satisfy the cryptogram above.

What is the sum of all possible values of \(A+B+C+D\)?

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