x,y, and z are positive integers such that gcd(x, y, z) = 14 and lcm(x, y, z) = 630 and y = 3x. What is the smallest possible value of x + y + z?
The smallest x, y, z are:
x = 14, y = 70, z = 126
x + y + z = 14 + 70 + 126 = 210
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