The run started with a 3-0 thumping by Wolves on December 22 then City lost 2-0 to Manchester City, Crystal Palace, Fulham and Arsenal before Brentford arrived at the King Power.
Yoane Wissa gave the Bees the lead on 17 minutes when Leicester's statues at the back allowed Mikkel Damsgaard's neat pass to make its way through.
LEICESTER CITY set an unwanted Premier League record as more misery piled on Ruud van Nistelrooy.
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It looked as though it would finish at three but Fabio Carvalho added a fourth just before the end - to condemn the Foxes to the third 4-0 defeat of Van Nistelrooy's nightmare tenure.
