SOLUTION: I looked but could not find an answer to this, I am confused as to how to work this out, please help....find the LCM of 50x^5y, 60x^4y^3, 30x^2y^4..thanks

Algebra ->  Radicals -> SOLUTION: I looked but could not find an answer to this, I am confused as to how to work this out, please help....find the LCM of 50x^5y, 60x^4y^3, 30x^2y^4..thanks      Log On


   



Question 662412: I looked but could not find an answer to this, I am confused as to how to work this out, please help....find the LCM of 50x^5y, 60x^4y^3, 30x^2y^4..thanks
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Divide and conquer:

A common multiple of 50x%5E5y, 60x%5E4y%5E3, and 30x%5E2y%5E4
has to be a multiple of 50=2%2A5%2A5, 60=2%2A2%2A3%2A5, and 30=2%2A3%2A5
The LCM of those 3 coefficients is 2%2A2%2A3%2A5%2A5=300.

A common multiple of 50x%5E5y, 60x%5E4y%5E3, and 30x%5E2y%5E4
has to be a multiple of x%5E5, x%5E4, and x%5E2.
The LCM of those powers of x is obviously x%5E5, which is
a multiple of itself,
a multiple of x%5E4, because x%5E5=%28x%5E4%29%2Ax,
and a multiple of x%5E2, because x%5E5=%28x%5E2%29%2A%28x%5E3%29.

A common multiple of 50x%5E5y, 60x%5E4y%5E3, and 30x%5E2y%5E4
has to be a multiple of y, y%5E3, and y%5E4.
The LCM of those powers of y is obviously y%5E4

The LCM of 50x%5E5y, 60x%5E4y%5E3, and 30x%5E2y%5E4 is
highlight%28300x%5E5y%5E4%29.