The sum of first $n$ natural numbers is given by the relation $S=\large\frac{n(n+1)}{2}$.If their sum is $276$,then the value of $n$ is _______

Question

$\begin{array}{1 1}(A) \;22\\(B)\;21 \\(C)\;24 \\(D)\;23 \end{array}$