Question

if x y z are natural numbers LCMof xand y is2744 yand z is1372 zandx is 2744 number of triplets if x y z
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Answer 1

Answer:

sorry

I don't no this answer but when I found out this then I will tell u

Answer 2

if x y z are natural numbers LCM of x and y is2744 y and z is 1372 z and x is 2744 number of triplets if x y z is 50.

Given:

LCM (X,Y) = 2744

LCM (Y,Z) = 1372

LCM (Z,X) = 2744

​To find:

number of triplets

Solution:

LCM (X,Y) = 2744 = 2^3 * 7^3

LCM (Y,Z) = 1372 = 2^2 * 7^3

LCM (Z,X) = 2744 = 2^3 * 7^3

X= 2^x * 7^p

Y=2^y * 7^q

Z= 2^z * 7^r    (at least two will have the values of 3)

  p       q        r

  3        3      0,1,2,3

  3      0,1,2      3            (All cases)

0,1,2      3         3  

 total triplets  = 5 * 10

                       = 50