Where does the crew go after they defeat Lavos?

[Sajainta]

I don't know if this has been asked before.  This is something I recently started thinking about, and I really have no idea.  We all know that Crono ends up in his house and that Lucca jumps around time for a bit, but what about before then?  After the crew defeats Lavos, where do they end up?  The End of Time?  Whatever time period in which you chose to fight the Black Omen?

Edit::  I was thinking of the ending with all the sidequests completed, but the question still stands for me regardless of the ending.

[Radical_Dreamer]

Do you mean immediately after the destruction of Lavos? Presumably they'd be spit back out in 1999AD.

[utunnels]

But if they fought him in 1999, the Epoch just crashed.
So perhaps back to the end of time?

[Sajainta]

Do you mean immediately after the destruction of Lavos? Presumably they'd be spit back out in 1999AD.

Aye, immediately.

Would it be necessary for them to travel to 1999, regardless of when you fought him?

[Radical_Dreamer]

Assuming you don't fight it at the Ocean Palace, the fight occurs on the Day of Lavos. There is a gate not far from where Lavos emerges; they probably took that back to the End of Time.