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Consider all possible natural numbers a,b,c,x,y,a, b, c, x, y,a,b,c,x,y, and zzz such that 1) LCM(a,b,c)=LCM(x,y,z)=2015, LCM(a,b,c) = LCM(x,y,z) = 2015,LCM(a,b,c)=LCM(x,y,z)=2015, 2) both a+b+ca+b+ca+b+c and x+y+zx+y+zx+y+z are perfect squares, 3) a,b,ca, b, c a,b,c are distinct, 4) x,y,z x, y, z x,y,z are distinct.
Find the maximum value of a−b−c−x−y−z. a - b - c - x - y - z.a−b−c−x−y−z.
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