Equivalent Fractions · Superchallenge problem

On a number line from 0 to 1, Kai marks every third ($\dfrac{1}{3}, \dfrac{2}{3}$), Lina marks every fourth ($\dfrac{1}{4}, \dfrac{2}{4}, \dfrac{3}{4}$), and Max marks every sixth ($\dfrac{1}{6}, \dfrac{2}{6}, \ldots, \dfrac{5}{6}$). If two marks land on the same spot they count as one. How many different spots are marked?