Rumors have been circulating that Lady Gaga and Elton John both demanded a huge pile of money to perform at the wedding of Jeff Bezos and Lauren Sanchez … but TMZ has learned it’s all BS.

Here’s the deal … with the Venice mega-wedding in the rearview mirror, gossip has been spun into headlines — such as both superstars wanting a fee of $6 million apiece to perform for the 200 who’s who guest list — which Bezos passed on.

Insiders for both icons tell TMZ … the whole story is laughable … ’cause it just didn’t happen. We hear that neither Elton nor Gaga was even approached to play the wedding — let alone demand such a gigantic fee.

As for the entertainment that took place … We’re told Ellie Goulding performed 4 or 5 songs, and Andrea Bocelli‘s son, Matteo, sang as well.

As we previously reported … The newlyweds were spotted departing Venice in a water taxi on Sunday, waving to onlookers and paparazzi as they cruised away from the historic canals that served as the backdrop for their ultra A-list celebration.

Their departure marks the end of a once-in-a-lifetime wedding experience filled with A-list guests, including Orlando Bloom, Tom Brady, Kim Kardashian, Kris Jenner, Khloe Kardashian, Kendall and Kylie Jenner, Sydney Sweeney and more.