If x, y and z are positive integers satisfying 13x=17y=19z, find the minimum value of x+y+z.
+240 First we can find the LCM of 13, 17, and 19 which is 4199.
\(x = \frac{4199}{13}\\ y = \frac{4199}{17}\\ z = \frac{4199}{19}\)
You can do the rest from here.
