Mehmet, of Elham Drive, Basildon, was jailed for five years, court staff said.
Clarke, of Lever Lane, Rochford, was given six years and six months, and Ramsey, of Hastingwood Road, Harlow, five years and three months.
Officers identified the men after reviewing CCTV, carrying out forensic analysis and recovering a vehicle believed to have been linked to the raid.
Clarke and Ramsey were arrested at their homes in the early hours of 31 March, while Mehmet was detained in the street on 8 April.