Possibly tempdb out of space or a system table is inconsistent While running DBCC CHECKDB I got this error


  Msg 8921, Level 16, State 1,   Line 1 Check terminated. A failure was
  detected while collecting facts. Possibly tempdb out of space or a
  system table is inconsistent. Check previous errors.


After that a coworker showed me this error, while executing a stored procedure.


  The Database ID 85, Page (1:3403), slot 0 for LOB data type node does
  not exist. This is usually caused by transactions that can read
  uncommitted data on a data page. Run DBCC CHECKTABLE


Then I tried to run DBCC CHECKTABLE for the table inside that procedure, Command Executed successfully for all table except one. I had to restart the server in order to overcome this problem... what if it occur in production server, how to over come it then.
DBCC CHECKDB makes extensive use of tempdb. It relies on a mechanism similar to snapshot isolation to make sure it always sees a transactionally consistent image of the database, independent what else might be going on.

The error you receive is most likely due to the fact that there is not enough room on the drive that tempdb is on. However, the error also states to check any prior errors. Were there any?