160, 180, 200.
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20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150.
The multiples of 20 are 20, 40, 60, 80, 100, 120... The multiples of 30 are 30, 60, 90, 120, 150... The multiples of 15 are 15, 30, 45, 60, 75, 90, 105, 120, 135... The common multiples of 20, 30, and 15 are 60, 120, 180, 240...
There are 14: 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150.
No number between 55 and 101 is a multiple of 410, though some are multiples of 20. 60, 80 and 100 are the multiples of 20 in that range, but none of them are multiples of 410. So no number between 55 and 101 is a multiple of 410 and 20.
There are 457 such numbers.