CAT 2017 Progression — Previous Year Question

Let $a_1, a_2, \ldots, a_{3n}$ be an arithmetic progression with $a_1 = 3$ and $a_2 = 7$. If $a_1 + a_2 + \ldots + a_{3n} = 1830$, then what is the smallest positive integer $m$ such that $m(a_1 + a_2 + \ldots + a_n) > 1830$?