  Using data recorded by the CLEO III detector at CESR, we report on the first
measurements of the branching fractions for decays of the Lambda_c^+ charmed
baryon into (Lambda pi+ pi+ pi- pi0) and (Lambda omega pi+). All rates are
measured with respect to the p K- pi+ decay mode. The relative branching
fractions are 0.39 +- 0.09(stat.) +- 0.09(syst.) and 0.24 +- 0.06(stat.) +-
0.06(syst.) for the (Lambda pi+ pi+ pi- pi0) and (Lambda omega pi+) modes,
respectively. The data also suggest decays of the Lambda_c^+ via (Lambda eta
pi+, eta --> pi+ pi- pi0) with a rate which is consistent with previous
measurements of the branching fraction of Lambda_c^+ to (Lambda eta pi+, eta
--> gamma gamma). The measurements indicate that the omega and eta sub-modes
comprise 87+-13% of the (Lambda pi+ pi+ pi- pi0) final state. We set an upper
limit on the contribution from non-omega and non-eta modes of 0.13 at the 90%
confidence level.
