Question 952042
Since we're looking for least, let's start at the beginning.
We know that it will be a multiple of 5 and 6.  5*6=30, so a multiple of 30.
30,60,90,120,150,180,210
Does 7 go into any of those with 1 remainder?
30/7 = 4 r 2
60/7 = 9 r 4
90/7 = 12 r 6 
<b>120/7 = 17 r 1</b>