Now, a common view among preterists is that the surrounding of Jerusalem by “encampments” (or “armies”) that we find referred to in Luke 21:20 is the “abomination of desolation” referred to by Christ in Matthew 24:15 and Mark 13:14 (this view also presupposes that the “encampments” or “armies” Christ had in view belonged to the Romans, and that this event occurred sometime before the siege of Jerusalem). For the sake of argument, let's assume that the “encampments” or “armies” Christ had in view in Luke 21:20 belonged to the Romans, and that the event in view is one that occurred sometime before the siege of Jerusalem in 70 AD. Is it at least possible that these “encampments” or “armies” could've been the fulfillment of the the “abomination of desolation” referred to by Christ in Matthew 24:15 and Mark 13:14? No.
As already shown, in order for something to qualify as the prophesied “abomination of desolation” that Christ had in view in Matt. 24:15, it must be part of an event that involves (1) the cessation of sacrifice and offering and (2) the setting up of an abominable thing “in the holy place” (i.e., the first division of the temple) on the same day. However, there is no evidence from history that this occurred in the first century. Even if we were to grant, for the sake of argument, that “the holy place” referred to by Christ in Matt. 24:15 could refer to something other than the first division of the Jewish temple, what we read in Mark's account is inconsistent with the abomination of desolation being a reference to the “encampments” or “armies” referred to by Christ in Luke 21:20. For in Mark 13:14, Christ clearly spoke of the abomination of desolation as a singular thing or object that would be standing in the holy place (hence the words, “...the abomination of desolation, declared by Daniel the prophet, standing where IT must not...”). The term translated “encampments” (or “armies”) is, of course, plural. Thus, the “encampments” or “armies” Christ had in view cannot be the singular thing that will be “standing where IT must not.”
But is there any other passage of scripture that refers to the abomination of desolation that Christ had in view in Matt. 24:15? I think so. In Revelation 13:14-15, we read the following concerning a certain individual who is elsewhere referred to by John as the “false prophet” (and who will be acting on behalf of another individual – i.e., the “wild beast” – and the political/religious system that this figure represents and heads up):