3 Black, 3 White, I'm clueless about Fan Replacement

I am replacing a ceiling fan. The new Minka Aire fan/light has a ground, black and white... the previous installation had ground + 3 black + 3 white. I wasn't that careful when I uninstalled the old fan, but I recall that at least one of the black and whites were spliced together.

What is the best way to sort this out. I took a guess is which black and white combination was correct, but since there are so many possible combinations, I'm not sure best way to work my way through this.

I would assume that if I had some sort of tester, I'd be able to determine which ones were live and which are not. Is there a simple device and procedure that would allow me to determine which ones are I should connect to?

I'm completely green about this....