live for sth / sb: to have something or someone as the most important thing in your life
live on: to continue to live
live on on sth: MONEY Money that you live on is the money you use to buy the things that you need.
live with sth: to accept a difficult or unpleasant situation
live on sth: FOOD to only eat a particular type of food
live together: If two people live together, they live in the same home and have a sexual relationship, but are not married.
live up to sth: to be as good as someone hopes
live with sb: to live in the same home as someone and have a sexual relationship with them although you are not married