Sense

1. (marking the simultaneous occurrence of two events): simultaneously, at once, at the same time
2. (marking general concurrence) (spatial, temporal, etc: together)

Examples

• καὶ οὐκ ἐχώρει αὐτοὺσ ἡ γῆ κατοικεῖν ἅμα, ὅτι ἦν τὰ ὑπάρχοντα αὐτῶν πολλά, καὶ οὐκ ἐχώρει αὐτοὺσ ἡ γῆ κατοικεῖν ἅμα. (Septuagint, Liber Genesis 13:6)
• ἐν δὲ τῷ τεσσαρεσκαιδεκάτῳ ἔτει ἦλθε Χοδολλογομὸρ καὶ οἱ βασιλεῖσ μετ̓ αὐτοῦ καὶ κατέκοψαν τοὺσ γίγαντασ τοὺσ ἐν Ἀσταρὼθ καὶ Καρναί̈ν, καὶ ἔθνη ἰσχυρὰ ἅμα αὐτοῖσ καὶ τοὺσ Ὀμμαίουσ τοὺσ ἐν Σαυῇ τῇ πόλει (Septuagint, Liber Genesis 14:5)
• πρὸ τοῦ κοιμηθῆναι δέ, οἱ ἄνδρεσ τῆσ πόλεωσ οἱ Σοδομῖται περικύκλωσαν τὴν οἰκίαν ἀπὸ νεανίσκου ἕωσ πρεσβυτέρου, ἅπασ ὁ λαὸσ ἅμα. (Septuagint, Liber Genesis 19:4)
• ἔλαβε δὲ Ἁβραὰμ τὰ ξύλα τῆσ ὁλοκαρπώσεωσ καὶ ἐπέθηκεν Ἰσαὰκ τῷ υἱῷ αὐτοῦ. ἔλαβε δὲ μετὰ χεῖρασ καὶ τὸ πῦρ καὶ τὴν μάχαιραν, καὶ ἐπορεύθησαν οἱ δύο ἅμα. (Septuagint, Liber Genesis 22:6)

Source: Ancient Greek entries from Wiktionary