Using 1-loop renormalisation group equations, we analyze the effect of
randomness on multi-critical unitary minimal conformal models. We stu
dy the case of two randomly coupled M(p) models and found that they fl
ow in two decoupled M(p-1) models, in the infrared limit. This result
is then extend to the case with M randomly coupled M(p) models, which
will flow toward M decoupled M(p-1).