How could monogamy have existed in evolution history?

Without make it any longer we know that humans belong to the great ape family,or at least,share the same ancestor that share one common family lifestyle among other things that is known as polygamy lifestyle,where a number of females are led by one single dominant male and only dominant males could mate with a lot of females. Religion that teach and has a great influence on monogamy lifestyle hasn’t yet existed. Women were also not very independent so they had no power and sex equality at that times. This is of course very different from the situation nowadays where most people are on monogamy lifestyle even though there are a number of people that still retain their primitive polygamy lifestyle and with a little bit of modification (like the Islamic people).

So the question lies here; how could monogamy lifestyle could has existed at that very primitive and adamant age? How monogamy lifestyle suddenly crossed their mind?