He used to pray without having purified himself

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Check below answers in case you are looking for other related questions:
Ruling on making up missed prayers
Praying Witr after the adhaan of Fajr

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Related Answers:
He did not know that ghusl from janaabah is obligatory; should he repeat the prayers?
When he was praying Zuhr, he remembered that he had not prayed Fajr
He missed some prayers during Ramadaan because he was asleep. What does he have to do?
Ruling on making up missed prayers
Praying Witr after the adhaan of Fajr

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