It can be seen that this number plus 1 is divisible by 2.3.5.6.

And this number is divisible by 7.

Add 1 and the number divisible by 2.3.5.6 is 30 60 90 120 150. ...

30.60 ... negative 1 is divisible by 7, and negative 1= 1 19 is divisible by 7.

So the smallest number is 1 19.