This is the 5439th most frequent Turkish word.
kültürünün
"Of its/her/his/their culture."
Here, 'kültürünün' is used in a possessive form meaning 'of [the] culture', referring to Turkish culture.
Türk kültürünün yemekleri oldukça ünlüdür.
The dishes of Turkish culture are quite famous.
In this sentence, 'kültürünün' indicates the possessive relationship ('of the culture[s]') connected to the people living in these countries.
Bu ülkelerde yaşayan insanların kültürünün farklılıkları var.
The cultures of the people living in these countries have differences.
Here, 'kültürünün' highlights the impacts belonging to the artist's culture, showing possession.