All who heard them laid them up in their heart, saying, "What then will this child be?" The hand of the Lord was with him.
For the hand of the Lord was with him ... This verse is a projection of the attitude in that community as it extended for years after the events narrated.  Along with  Luke 1:80, and  Luke 2:52, this is a typically Lukan style.  This clause is an anthropomorphic metaphor such as abounds in the Old Testament.  The "feet" of God  (Exodus 24:10), the "finger" of God  (Exodus 31:18), the "eyes" of God  (Deuteronomy 11:12), the "ears" of God  (Numbers 11:18), and the "hand" of God  (Exodus 9:3) are Old Testament examples of the same metaphor.  Such imagery was used to aid human thinking with regard to HIM who is actually a Spirit (John 4:24).  "Lord" is the word Luke here used of the Almighty, and the same word was used of Jesus even before he was born (Luke 1:43); thus this Gospel author joined apostles (John 1:1) and other sacred authors in ascribing absolute deity to Jesus Christ our Lord.