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