  We study the processes e+ e- --> 3(pi+pi-)gamma, 2(pi+pi-pi0)gamma and K+ K-
2(pi+pi-)gamma, with the photon radiated from the initial state. About 20,000,
33,000 and 4,000 fully reconstructed events, respectively, have been selected
from 232 fb-1 of BaBar data. The invariant mass of the hadronic final state
defines the effective e+e- center-of-mass energy, so that these data can be
compared with the corresponding direct e+e- measurements. From the 3(pi+pi-),
2(pi+pi-pi0) and K+ K- 2(pi+pi-) mass spectra, the cross sections for the
processes e+ e- --> 3(pi+pi-), e+ e- --> 2(pi+pi-pi0) and e+ e- --> K+ K-
2(pi+pi-) are measured for center-of-mass energies from production threshold to
4.5 GeV. The uncertainty in the cross section measurement is typically 6-15%.
We observe the J/psi in all these final states and measure the corresponding
branching fractions.
