Do you have breeds of chickens known to go broody? If not, then you'll need to be extremely lucky for this to work.
I have bantam breeds known for their broody tendencies, and what I did last spring was just stop collecting eggs. When a clutch of 6 eggs had built up (with three hens contributing, this only took 2-3 days), the highest ranking hen claimed that nest and started incubating the eggs. The remaining two hens went to work building up a clutch on a second nest, and the second ranking hen then claimed that nest when the clutch reached 6 eggs. The third hen had to work all by herself to build up a clutch and of course that took longer, but she sat down to brood right on schedule at 6 eggs.
I believe different breeds of chickens set different size clutches, and perhaps even different individual hens have their own ideas about that, too. Strange to think about chickens being able to count.
Good luck! I hope it works for you. The experience of watching broody hens hatch and raise their own chicks will go down for me as one of the most memorable experiences of my life. It's wonderful!