Using data collected with the L3 detector at LEP from 1992 to 1995 on the Z peak, we determine the branching fractions of the τ lepton into one, three and five charged particles to be: B(τ->(1-prong))=85.274=1.105±0.073%, B(τ->(3-prong))=14.556=1.105±0.076%, B(τ->(5-prong))=0.170=0.022±0.026%. The first uncertainties are statistical and the second systematic. The accuracy of these measurements alone is similar to that of the current world average.