multiples of 3 between 61 and 107 are
63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105
multiples of 5 between 61 and 107 are
67, 70, 75, 80, 85, 90, 95, 100, 105
multiples of 6 between 61 and 107 are
66, 72, 78, 84, 90, 96, 102
With the 3 and the 5 they share the numbers,
75, 90, 105
The 3 and 6 share the numbers
66, 72, 78, 84, 90, 96, 102
The 5 and 6 share the number
90
The only one I see that's common with all three of them is
90