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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?

 Apr 16, 2021
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The smallest x, y, z are:

 

x = 14,   y = 70,   z = 126

 

x + y + z = 14 + 70 + 126 = 210

 Apr 16, 2021

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