  We have studied the Be/X-ray binary (BeXRB) pulsar eRASSU J050810.4-660653
recently discovered in the Large Magellanic Cloud (LMC). Timing and spectral
features of the source have been discussed in detail using NuSTAR \& XMM-Newton
observations. Coherent pulsation of the source was detected at $\sim
40.578\;\pm\;0.001$ s using NuSTAR observation. We analyzed pulse profiles of
the source in different energy bands using NuSTAR \& XMM-Newton data. The
pulse-profile evolved with time but was generally suggestive of a pencil-beam
dominated pattern, which combined with the measured luminosity, indicates that
the source may be accreting in the sub-critical regime. The pulse fraction
follows a linearly increasing trend with photon energy and is anti-correlated
with luminosity. In the 1 year interval between the XMM and NuSTAR observations
the pulse period shortened by 0.021 s which could be consistent with spin-up or
orbital Doppler effect. The average flux of the source in (3-50) keV energy
range is found to be $\sim 5.56\;\times\;10^{-11}\;erg\;cm^{-2}\;s^{-1}$ and
the corresponding luminosity is $\sim 1.66\;\times\;10^{37}\;erg\;s^{-1}$. The
variation of spectral parameters with pulse phase is studied using phase
resolved spectroscopy which reveals that the observed photon index becomes
harder with increasing flux.
