The singer gave a rendition of the track, which was produced by Jamie from The xx, citing the three artists involved as her "absolute favourite".
Frontwoman Florence Welch also sang 'Shake It Out', 'What The Water Gave Me' and new single 'No Light, No Light' from her latest album Ceremonials, as well as 'Rabbit Heart' and 'Dog Days Are Over' from her multi-million selling debut Lungs.
Welch is the third ever artist to perform an extended version of BBC Radio 1's Live Lounge, following Adele and Leona Lewis earlier this year.
Florence + the Machine's new music video for 'No Light, No Light' recently sparked an online debate over suggestions it has a racist subtext.
> Florence + the Machine tour dates announced
Listen to Florence + the Machine cover Drake and Rihanna's 'Take Care' below: