All his house died together - Not the whole of his family, nor even “all his sons” (see 2Sa 2:8-15; 2 Samuel 3:6-15; 2 Samuel 4:1-12). The phrase is perhaps an abbreviation of the expression in the parallel passage of Samuel 1 Samuel 31:6.
Related Commentaries of 1 Chronicles 10:6
1 Chronicles 10:6
6 So Saul died, and his three sons, and all his house died together.