In a story on CNA we read that the Holy Father gave an interview to La Vanguardia.
Inter alia, His Holiness said,
I pray every day the divine office every day with the Psalms of David. We do the 150 psalms in one week.
This leads me to wonder if Pope Francis is using the older, traditional Roman Breviary rather than the newer Liturgy of the Hours. In the LotH you don’t get all 150 psalms in a week. As a matter of fact, I am not sure you get all 150 at all.
Of course it is entirely possible that His Holiness just got it wrong. I think there are a lot of clerics out there who diligently say their office with the new books and have the notion that they say all the psalms in a week. The important thing is that they say their prayers. on way or another, with an approved version of the office.