Your max take off weight is going to be limited by any one of:
Structural Limit
Field length All engines
Field Length One engine inop
Climb 1st segment
Climb 2nd segment
Climb 3rd segment
Climb final segment
Climb missed approach
Tyre speed
Vmbe
Vmc
Obstacle clearence
Something else I've probably forgotten
They all have equal importance as which ever is most limiting is limiting!
Which is most common depends on aircraft type and runway and no two are the same. So there is no answer to your question in it's current form.