2000 AMC 10 Problem 1

In the year 2001, the United States will host the International Math Olympiad. Let I, M, and O be distinct positive integers such that the product I\cdot M \cdot O=2001. What is the largest possible sum I+M+O?

\textbf{(A)}\ 23 \qquad\textbf{(B)}\ 55 \qquad\textbf{(C)}\ 99 \qquad\textbf{(D)}\ 111 \qquad\textbf{(E)}\ 671

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.