Lindsay Lohan punched another woman in the face over Max from the boy band "The Wanted" last night  ... and we've learned Max was turned off by the fact LiLo was sloppy drunk  inside the club ... this according to sources at the club.

We're told  ... Lindsay went to the Justin Bieber concert -- but not to see  the Biebs -- The Wanted was the opening act ... and Lindsay has been scoping Max  out for the last few days.

Sources say Lindsay tried to get backstage  after the concert  to see him -- but she was blocked.
Fast forward to  later that evening when Lindsay met up with Max, Jay and Tom at a hotel bar.

The four of them -- along with one of LiLo's friends -- then went to  Club Avenue together.

As the evening wore on, we're told Lindsay got  drunker and drunker ... and it turned Max off. he then set his sights on another  woman, which enraged Lindsay. That woman is the one Lindsay is accused of  battering. 

Ironically, Max washed his hands of both of them --  found another girl in the club -- and went home with her instead ... while  Lindsay ended up in jail.                                                                                           

Read more: http://www.tmz.com#ixzz2DdUo8Iyr

Here is the victim