There is one more meaning - "for the sake of arguement" or "for the sake of discussion". This means that you will agree with the other person for a minute even though you don't believe them but you want to make another point and if you disagree a long time it will restrain the topic.

好像有两种译法，一个是“因为。。。的缘故，为了。。。” eg：She gave him back the money she'd stolen for the sake of her conscience. 为了不受良心的谴责，她把从他那偷来的钱还给他了。 另外一种比较口语化，可以翻译成“看在。。。的份上”

Hi amy , It means " to satisfy or fulfill someone's need or wish " for his sake or for my sake " He did this for her sake . ( to reach for her , to please her etc) OR " for fulfilling a certain aim ,something that one seeks , looks forward to realize , usually something that is not attainable at the moment and one has to seek by hard work or any effort ". " He had to work so hard for the sake of buying that house " .