The least common multiple of 63, 105, and 2142 is 10,710.
You can determine this by looking at the multiples of each number individually and seeing when they match:
63: 63, 126, 189...10,710
105: 105, 210, 315...10,710
2,142: 2142, 4284, 6426, 8568, 10,710
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