We consider a combining of multiple laser beams into a single diffraction-limited beam by the beam self-focusing (collapse) in the Kerr medium. The beams with the total power above critical are first combined in the near field and then propagated in the optical fiber/waveguide with the Kerr nonlinearity. Random near-Gaussian fluctuations during propagation slowly change the correlation radius of stochastic fluctuations until eventually triggering strong self-focusing event and produce diffraction-limited beam carrying the critical power.