252
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The LCM is: 504
To find three consecutive numbers that multiply together to equal 504, we can set up the equation x(x+1)(x+2) = 504. By expanding this equation, we get x^3 + 3x^2 + 2x - 504 = 0. By trial and error or using algebraic methods, we find that the three consecutive numbers are 7, 8, and 9, as 789 = 504.
To find factors of -504 that add up to -3, we must consider both positive and negative factors. The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, and 504. By considering the negative factors as well, we can identify that -7 and -72 are factors of -504 that add up to -3.
504
504 = (5 x 100) + (0 x 10) + (4 x 1)