During training, real life text is fed through the LLM, and rhe "correct" token is the one actually observed in the training text. Here's a recent video walkthrough in some detail, mostly aimed at providing a deeper understanding than "next token predictor function":
https://youtu.be/GlYgs6v2YfU?is=IxVMhoCCE4N4WRVK
(Start at 15:30 for the LLM specific parts)