Joel Ampadu, of Tivoli Gardens, Woolwich, was found guilty at Blackfriars Crown Court of five counts of rape of a girl under the age of 13, three counts of rape of a girl under the age of 16 and one count of sexual assault of a girl under 13.
He was given a further three years on licence.
The court heard that his first victim was 13 years old when he raped her in 2012.
Ampadu raped his second victim, aged 12, in a park in Greenwich in 2015 after the pair were introduced by a male relative.
He raped her on a further four occasions, including in a car park, and was also found guilty of sexually assaulting her.
In October 2016, he raped a 15-year-old girl in the stairwell of a block of flats and at his home address. He filmed the second attack on his mobile phone.
Ampadu used fear and intimidation to control all of his victims, police said.
Detective Constable Amy Beautridge said: “The three young victims in this case have shown immense courage and bravery; not only in coming forward to report these despicable crimes, but also in seeing the investigation through to court.
“Their actions have helped to ensure that a dangerous, sexual predator has been removed from the streets and that he is no longer in a position to harm other young girls.
“I hope today’s sentence gives the victims some closure and that they are able to move forward with their lives.”