Why does x^2 y^7, x^5 x^5, x^8 y^3 does not have a LCM?

I am not sure about this. Any help is appreciated.
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LCM of first and last term is given by x^2y^7*x^8y^3/x^2y^3=x^8y^7. Now combine this with the middle expression: the LCM of all three is x^8y^7*x^5x^5/x*8=x^10y^7. A quick check shows that all three expressions divide into the LCM of x^10y^7.

 

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