Question 1087855
<pre>

{{{matrix(3,3,

xy,""="",x*y,
x^2,""="",x*x,
xy^3,""="",x*y*y*y)}}}

We look at the number of factors of x in each:

xy contains a factor of x 1 time.
x<sup>2</sup> contains a factor of x 2 times.
xy<sup>3</sup> contains a factor of x 1 time.

Therefore the LCM must contain a factor of x the most number
of times that any one of them contains x as a factor, which is
2 times.

We look at the factors of y (if any) in each:

xy contains a factor of y 1 time.
x<sup>2</sup> contains a factor of y no (0, zero) times.
xy<sup>3</sup> contains a factor of y 3 times.
 
Therefore the LCD must contain a factor of y the most number
of times that any one of them contains y as a factor, which is
3 times.

So the LCM contains a factor of x 2 times and a factor of y
3 times:

Answer = LCM = {{{x^2y^3}}}

Edwin</pre>