When are the empires in Nebuchadnezzar's dream consummated?
The empires in Nebuchadnezzar's dream are consummated with the second coming of Christ. The various empires—Babylonian, Mede-Persian, Greek, Roman, and the revived Roman—are all consummated at that event, as stated in the context regarding Daniel chapter 2. This is the timing given for their completion.
Les teaches that when he gets to Daniel chapter 2, the various empires pictured in the image Nebuchadnezzar dreams of are all consummated with the second coming of Christ. He explains that all the remnants of those previous empires—the Babylonian, Mede-Persian, Greek, and Roman, as well as the revived Roman—will have residues of those previous empires with us today. The consummation of these empires is tied directly to Christ's second coming.