MathNet 2006 — Part 02 Question 165

What is the smallest positive integer $N$ such that $\frac{N}{3}$, $\frac{N}{4}$, $\frac{N}{5}$, $\frac{N}{6}$ and $\frac{N}{7}$ are integers?


A) 420

B) 350

C) 210

D) 300

E) 280