Using e(+)e(-) annihilation data sets corresponding to an integrated luminosity of 4.5 fb(-1), collected with the BESIII detector at center-of-mass energies between 4.600 and 4.699 GeV, we report the first measurements of the absolute branching fractions B(Lambda(+)(c)-> pK(L)(0) = (1.67 +/- 0.06 +/- 0.04)%, B(Lambda(+)(c)-> pK(L)(0) pi(+)pi(-) = (1.69 +/- 0.10 +/- 0.05)%, and B(Lambda(+)(c)-> pK(L)(0)pi(0) = (2.02 +/- 0.13 +/- 0.05)%, where the first uncertainties are statistical and the second systematic. Combining with the known branching fractions of Lambda(+)(c)-> pK(S)(0), Lambda(+)(c)-> pK(S)(0) pi(+)pi(-), and Lambda(+)(c)-> pK(S)(0)pi(0), we present the first measurements of the K-S(0)-K-L(0) asymmetries R(Lambda K-+(c)S,L(0) X) = B(Lambda(+)(c) -> (KSX)-X-0-B (Lambda(+)(c)-> K-L(0) X/B(Lambda(+)(c)->(KSX)-X-0)+B(Lambda(+)(c)->(KLX)-X-0) in charmed baryon decays: R(Lambda(+)(c)pK(S,L)(0)) = -0.025 +/- 0.031, R(Lambda(+)(c)pK(S,L)(0) pi(+)pi(-)) = -0.027 +/- 0.048 and R(Lambda(+)(c)pK(S,L)(0)pi(0) = -0.015 +/- 0.046. No significant asymmetries with statistical significance are observed.