  We find constraints on R-Parity Violating (RPV) couplings of the minimal
supersymmetric standard model, using Drell-Yan differential cross sections at
the LHC. Specifically, we look at the constraints on $\lambda'LQD^c$ couplings
from monolepton and dilepton data published by ATLAS, with either electrons or
muons in the final state. Out of the 18 RPV couplings to which the LHC is at
least potentially sensitive by this technique, we find new limits on 12 (or 13)
of them, for squarks masses above 1 (or 2) TeV. We also show that one can
employ our techniques to achieve significantly stronger bounds at a
high-luminosity upgrade of the LHC.
