Cheap Apartments For Rent In Dracut Ma . Rent.com® offers 149 cheap apartments for rent in dracut, ma neighborhoods. 8 rentals available on trulia. 51 Tobey Rd 44, Dracut, MA 2 Bed, 2 Bath Condo 25 Photos Trulia from www.trulia.com 2766 cheap apartments for rent are found in dracut, ma. Dracut, ma apartments for rent. The average home rent in this town is $2,364.