The relationship Hansen had with the women has been suppressed.
"[He] bizarrely had a fascination with their teeth, or a fascination or obsession with them not having any teeth," Ms Carter said.
"He liked his women without teeth."
She explained how he allegedly pulled one victims bottom teeth out, before taking her to the dentist to get the rest of her teeth removed.
He then allegedly broke her dentures to ensure she stayed a "gummy lady", Ms Carter said.
It is alleged he would also put his hand into the mouths of victims and wiggle their teeth during sex.
As well as this, there were allegations that Hansen cut the toes of one of his victims.
Hansen was arrested in December 2012. His name suppression was lifted in September last year.
The trial before Judge Bruce Davidson and a jury of nine men and three women continues.