Airdrieonians close in on second-placed Alloa, while Stenhousemuir leapfrog Stranraer at the bottom of Scottish League One.
Stenhousemuir beat fellow strugglers Peterhead to lift themselves off the foot of the Scottish League One table.
Kevin O'Hara's early goal secures a win over Stenhousemuir that moves East Fife up to sixth in Scottish League One.
Livingston move seven points clear with a big win at Stenhousemuir, while Alloa and Stranraer share the points.
Strugglers Stenhousemuir stun promotion-chasing Airdrieonians in 5-0 thrashing in the promotion-chasers' back yard.