A new method for the synthesis of active RC circuits employing multiple output current controlled conveyors (Mo-CCCIIs) is presented here. A new graph is proposed for Mo-CCCII and the application of this graph in active filter design is studied. The obtained active filter uses Mo-CCCIIs as active devices and only capacitors as passive elements without the need of passive resistors. To generalise the proposed method, an algorithm is presented, which converts the loop-cut-set matrices of the passive LC filter prototypes to the proper matrices for Mo-CCCII-based active filters. The new matrices characterise the connections of the equivalent Mo-CCCII-based active filter. The presented algorithm is programmed in MATLAB, so the matrix manipulation is done very quickly. Also, Hspice simulation result of the synthesised active filter is given to confirm the viability of this approach.