The Polish forward scored early on to put the German side ahead but Cristiano Ronaldo had levelled by half time.
But Lewandowski pounced on a loose ball in the box twice to make it 3-1 before netting a penalty to wrap up an emphatic victory.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.