In the paper we consider fast transformation of a multilevel and multioutput circuit with AND, OR and NOT gates into a functionally equivalent circuit with NAND and NOR gates. The task can be solved by replacing AND and OR gates by NAND or NOR gates, which requires in some cases introducing the additional inverters or splitting the gates. In the paper the quick approximation algorithms of the circuit transformation are proposed, minimizing number of the inverters. The presented algorithms allow transformation of any multilevel circuit into a circuit being a combination of NOR gates, NAND gates or both types of universal gates.