American rapper Jay-Z performs at Bercy stadium in Paris, October 17, 2013. (REUTERS/Benoit Tessier/File Photo)

The three latest nominations for Jay-Z came for collaborations with other artists.

Jay-Z has won 23 Grammys overall, including a best rap album award in 1999 and honors for songs "Crazy in Love" with his wife, Beyonce, in 2004 and "Empire State of Mind" with Alicia Keys in 2011. Earlier this year, Beyonce set the record for most Grammy wins by a woman with 28 over her career.

McCartney's Grammy nomination total climbed to 81 on Tuesday with two nods for best rock album "McCartney III" and best rock song for "Find My Way."

Winners of the Grammys, the highest honors in the music industry, will be announced on January 31 at a ceremony in Los Angeles that will be broadcast on CBS.