The men - all in their 20s - "forcibly entered" the flats in Bannockburn Road at about 0200 on Sunday.
One of the men was 6ft 3in tall with a muscular build and wearing a dark hooded top. Another also had a dark jumper or hoody on.
Police have appealed to anyone with information to contact them.
Officers said the assaults were unprovoked.
Police are hunting three men who broke into flats providing shelter for the homeless and carried out a series of assaults.