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

 

Thanks for helping!

 Sep 2, 2020
 #1
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The smallest x, y, z are:

 

x = 14,   y = 70,   z = 126

 

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

 Sep 2, 2020

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