Despite defending well for most of the first-half, the Hammers fell behind, just before the break, to Guy Demel own-goal as Jussi Jaaskelainen parried Luis Suarez shot back onto Demel’s body for it to rebound into the net.
The second half had barely started when Skrtel prodded home a header back across the box from Sakho to give the hosts a 2-0 lead.
West Ham fought valiantly and defended well as Liverpool went on the attack. They were rewarded when Skrtel turned villain by diverting Matt Jarvis’ header past Mignolet in the Reds’ goal to give the Hammers a sniff.
With just 10 minutes left the game was put to bed by the in-form Luis Suarez. The Uruguayan headed in Glen Johnson’s cross for 3-1 before making it four with a deflected effort just before the final whistle.
Hammers skipper Kevin Nolan was also sent-off late on for a kick at Jordan Henderson.