Question 37
Let $n$ be a positive integer greater than $1$. If $2n$ is divided by $3$, the remainder is $2$. If $3n$ is divided by $4$, the remainder is $3$. If $4n$ is divided by $5$, the remainder is $4$. If $5n$ is divided by $6$, the remainder is $5$. What is the least possible value of $n$?