Question

Find the LCM of xy , yz , zx .​

Answer 1

Answer:

Lets assume that you have to add all these terms to each other.

Then first add the two terms from the left hand side for simplicity in calulation.

hence we have x/yz+y/zx to be added first.

the lcm of yz and zx is as follows :

the common term in both is z so we first divide them by it.

The remaining term in both of them is simply multiplied.

hence the lcm is zxy .

x will be multiplied to x as its denominatior lacks the term x and so similarly y will be multiplied to y then we get

x²+y²/xyz

Now add this to the last term z/xy

the lcm would be the same as both xy is common the only uncommon term is multiplied to the numerator i.e. z will be multiplied with z.

the answer is (x²+y²+z²)/xyz