Flight 604 headed to Los Angeles International Airport was in the air for just a few minutes when pilots realized there was an issue with the engine.
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According to Southwest, the pilots chose to turn around.
Witnesses told ABC News that they saw flames coming from the right part of the engine.
Some people captured the flames shooting from the engine.
All 110 passengers and five crew members landed safely.
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"There were sparks and flames coming from outside," passenger Traci Scarce told ABC. "It sounded like there was a stalling engine."
Scarce said the Southwest crew was able to maintain calm inside the cabin.
Southwest Airlines said all passengers got on a new aircraft and landed in Los Angeles Monday afternoon.