in modern County Offaly. Probably following this, perhaps in 745, Anmchad defeated the Déisi Mumain, of what is now the east of County Waterford, killing their king Uargus mac Fiachrae. The following year Anmchad defeated and killed the three sons of Cumascrach, but who Cumascrach and his sons were, and the reasons why Anmchad was at war with them are now lost.

The principal target of Anmchad's later wars was Leinster, and in particular the kingdoms and peoples of southern Leinster, modern County Carlow,