Exactly divisible numbers

Let us denote the set of numbers between 1 and 2016 that are divisible by 4 as A, divisible by 6 as B and divisible by 10 as C. Then m(A)=504, m(B)=336, and m(C)=201. m(AB)=168, m(BC)=67, m(CA)=100, and m(ABC)=33. Therefore the required number is m(A)+m(B)+m(C)-2[m(AB)+m(BC)+m(CA)]+3m(ABC)=504+336+201-2(168+100+67)+3(33)=470

$\text{Length}[\text{Table}[\text{If}[\text{Boole}[(n \bmod 4)=0]+\text{Boole}[(n \bmod 6)=0]+\text{Boole}[(n \bmod 10)=0]=1,n,\text{Nothing}],\{n,2016\}]] \Rightarrow 470$