Zabka mini-supermarket and a flat above were completely destroyed in the blast on the evening of February 25, killing three members of the Ragoobeer family who had moved to the UK from Mauritius.
Three men charged with arson and manslaughter appeared before Leicester Magistrates Court and were remanded in custody to appear before Leicester Crown Court on April 3.
The store's owner Aram Kurd, 33, is charged along with Hawkar Hassan, 32, and Arkan Ali, 37.
The three men each face five counts of manslaughter and one count of arson with intent or being reckless as to whether life was endangered.
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Last week, the police had formally identified brothers Shane Ragoobeer, 18, and Sean Ragoobeer, 17 as the victims of the blaze. They lived in the flat above the Polish shop. Their mother, 46-year-old Mary Ragoobeer, is yet to be formally identified but is believed to be the unidentified body.
Leicestershire Police detectives investigating the explosion on Hinckley Road in the city arrested a man in his 40s on suspicion of manslaughter on Sunday. He is currently in police custody where he is being questioned.
Two other men, both in their 30s, who were arrested on Friday have been released.
The police have also made a fresh witness appeal for anyone who may have been near the mini supermarket on February 25.
Its vital that we speak to anyone who may have information about any people they saw coming and going into the supermarket in Hinckley Road in the hours leading up to the explosion People lost their lives in the most horrific way on Sunday. We owe it to them to understand the cause of that explosion, said Detective Inspector Michelle Keen.