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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?

 Oct 3, 2020
 #1
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The smallest possible vlaue of x + y + z is 144.

 Oct 3, 2020
 #2
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can you explain it?

ss333  Oct 3, 2020
 #3
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x=1;p=0; y=1;z=1;n=LCM(x,y,z);if(n==630 and GCD(x,y,z)==14, goto loop, goto next);loop:p=p+1;printp," =",x,y,z,"=", sum(x,y,z);next:x++;if(x<127, goto4,0);x=1;y++;if(y<127, goto4, 0);x=1;y=1;z++;if(z<127, goto4,0)

 

The smallest possible values of x = 14,  y = 70,  and  z =126

14 + 70 + 126 = 210

 Oct 3, 2020
 #4
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so it 210

ss333  Oct 3, 2020
 #5
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Yes, Sir !.

Guest Oct 3, 2020
 #6
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Thanks!

ss333  Oct 3, 2020

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