Find smallest number when divided by $2,3,4,5,6,7,8,9,10$ leaves $1,2,3,4,5,6,7,8,9$ remainder Find smallest number when divided by $2,3,4,5,6,7,8,9,10$ leaves $1,2,3,4,5,6,7,8,9$ remainder.How to go about solving this problem??

The smallest such number is 2519. The next number can obtain by the equation 2519x+x-1. Where x can replaced by any whole number
