Is this a world record? I don't know, but it is certainly impressive ...
From video description:
At Aleph Objects, Inc, we believe we hold the world record for most 3D printers running simultaneously. On April 3rd, 2014 we recorded 109 LulzBot 3D printers running simultaneously. If you know anyone who has done more, let us know!Source: https://www.youtube.com/watch?v=v_jUObUGLTA
Here is the LulzBot factory tour and interviews about open source business model:
There is a Reddit thread about this:
At LeTourneau university they claimed world record with 108 machines printing which is ONE less than Aleph Objects record: