You can find out this feature using Web of Science, a resource available through the library.

Once in Web of Science, select the tab/link for "Cited Reference Search" and enter the requested information for the article you are seeking the "times cited" information for.  Results retrieved will show the number of "citing articles" in the summary display for your article.  If you click through to the full record for your article, you'll also see this number listed as "Times Cited" under the Source field. Web of Science's help documentation give some information on how they count citing articles here: