The man dubbed the Camden Ripper has been given three life sentences for killing women to satisfy his "depraved and perverted" sexual cravings.
Anthony Hardy (53) had admitted the murders which all took place at his flat in Camden, north London, last year.
Old Bailey judge Mr Justice Keith told him he would have to decide later whether Hardy could ever be released on licence by recommending a minimum term.
He told Hardy: "Only you know for sure how your victims met their deaths but the unspeakable indignities to which you subjected the bodies of your last two victims in order to satisfy your depraved and perverted needs are in no doubt."