Shri Narasimha Saraswati (birth name - Shaligramadeva or Narhari)  lived from 1378 to 1459 (Shaka 1300 to Shaka 1380).
The provided text states that Shri Narasimha Saraswati lived from 1378 to 1459 during the Shaka era (1300-1380).