Stability switching hypersurfaces (SSH) of a general class of linear time invariant (LTI) multiple time delay systems (MTDS) are extracted. The number of delays l and system order no in this problem are given but they are arbitrarily large. Hence, the extraction of SSH becomes non-trivial. A novel and efficient procedure reveals the 3D projections of l-dimensional SSH, without the need for finding the SSH. In achieving this, computation times required remain in the same order of magnitude independently of l and n(0). Case studies demonstrate the effectiveness of the approach. (C) 2009 Elsevier Ltd. All rights reserved.