document.write( "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 \n" ); document.write( "

Algebra.Com's Answer #412306 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
Divide and conquer:
\n" ); document.write( "
\n" ); document.write( "A common multiple of $\"50x%5E5y\"$ , $\"60x%5E4y%5E3\"$ , and $\"30x%5E2y%5E4\"$
\n" ); document.write( "has to be a multiple of $\"50=2%2A5%2A5\"$ , $\"60=2%2A2%2A3%2A5\"$ , and $\"30=2%2A3%2A5\"$
\n" ); document.write( "The LCM of those 3 coefficients is $\"2%2A2%2A3%2A5%2A5=300\"$ .
\n" ); document.write( "
\n" ); document.write( "A common multiple of $\"50x%5E5y\"$ , $\"60x%5E4y%5E3\"$ , and $\"30x%5E2y%5E4\"$
\n" ); document.write( "has to be a multiple of $\"x%5E5\"$ , $\"x%5E4\"$ , and $\"x%5E2\"$ .
\n" ); document.write( "The LCM of those powers of $\"x\"$ is obviously $\"x%5E5\"$ , which is
\n" ); document.write( "a multiple of itself,
\n" ); document.write( "a multiple of $\"x%5E4\"$ , because $\"x%5E5=%28x%5E4%29%2Ax\"$ ,
\n" ); document.write( "and a multiple of $\"x%5E2\"$ , because $\"x%5E5=%28x%5E2%29%2A%28x%5E3%29\"$ .
\n" ); document.write( "
\n" ); document.write( "A common multiple of $\"50x%5E5y\"$ , $\"60x%5E4y%5E3\"$ , and $\"30x%5E2y%5E4\"$
\n" ); document.write( "has to be a multiple of $\"y\"$ , $\"y%5E3\"$ , and $\"y%5E4\"$ .
\n" ); document.write( "The LCM of those powers of $\"y\"$ is obviously $\"y%5E4\"$
\n" ); document.write( "
\n" ); document.write( "The LCM of $\"50x%5E5y\"$ , $\"60x%5E4y%5E3\"$ , and $\"30x%5E2y%5E4\"$ is
\n" ); document.write( " $\"highlight%28300x%5E5y%5E4%29\"$ . \n" ); document.write( "

\n" );