Three families make a remarkable discovery. The sums of the ages of their members are all the same, the sums of the squares of the ages of their members are all the same, and the sums of the cubes of the ages of their members are all the same.

Everyone in all 3 families has a different age, and nobody is more than 100 years old.

What is the smallest possible sum of their ages? Can this be done with 4 families?