The least number which, when divided by 5, 6, 7 and 8, leaves a remainder of 3, but when divided by 9 leaves no remainder, is:

Explanation

LCM of 5, 6, 7 and 8 is 840. Required number is 840k+3, and it must be divisible by 9. 840(2)+3=1683, and 1683÷9=187.