document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=691114>Question 691114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Someone please solve !! ASAP\r<BR>\n" );
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document.write( "Find the greatest common factor of 2^31 * 5^15 * 7^22 and 2^35 * 5^22 * 7^14\r<BR>\n" );
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document.write( "Find the least common multiple of 2^31 * 5^15 *7^22 and 2^35 * 5^22 * 7^14\r<BR>\n" );
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document.write( "What the signs mean:<BR>\n" );
document.write( "* = Multiply<BR>\n" );
document.write( "^ = Square Root of ... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426620 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=426620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Did you mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%2831%29%2A5sqrt%2815%29%2A7sqrt%2822%29 ALIGN=MIDDLE  ALT=\"2sqrt%2831%29%2A5sqrt%2815%29%2A7sqrt%2822%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%2835%29%2A5sqrt%2822%29%2A7sqrt%2814%29 ALIGN=MIDDLE  ALT=\"2sqrt%2835%29%2A5sqrt%2822%29%2A7sqrt%2814%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%2831%29%2A5sqrt%2815%29%2A7sqrt%2822%29+=+2%2A5%2A7%2Asqrt%2831%29%2Asqrt%283%2A5%29%2Asqrt%2822%29+=++2%2A5%2A7%2Asqrt%2831%29%2Asqrt%283%29%2Asqrt%285%29%2Asqrt%2822%29=%282%2A5%2A7%2Asqrt%285%29%2Asqrt%2822%29%29%2Asqrt%283%29%2Asqrt%2831%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%2835%29%2A5sqrt%2822%29%2A7sqrt%2814%29+=+2%2A5%2A7%2Asqrt%287%2A5%29%2Asqrt%2822%29%2Asqrt%282%2A7%29+=+2%2A5%2A7%2Asqrt%287%29%2Asqrt%285%29%2Asqrt%2822%29%2Asqrt%282%29%2Asqrt%287%29+=+%282%2A5%2A7%2Asqrt%285%29%2Asqrt%2822%29%29%2Asqrt%287%29%2Asqrt%287%29%2Asqrt%282%29+=%282%2A5%2A7%2Asqrt%285%29%2Asqrt%2822%29%29%2A7sqrt%282%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Both expressions share <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A5%2A7%2Asqrt%285%29%2Asqrt%2822%29=70sqrt%28110%29 ALIGN=MIDDLE  ALT=\"2%2A5%2A7%2Asqrt%285%29%2Asqrt%2822%29=70sqrt%28110%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and that is the greatest common factor.<BR>\n" );
document.write( "The factors that are not common are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29%2Asqrt%2831%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29%2Asqrt%2831%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7sqrt%282%29 ALIGN=MIDDLE  ALT=\"7sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In the least common multiple, we need to include all factors (common and not common), but we do not include the common factors twice.<BR>\n" );
document.write( "The least common multiple is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2A5%2A7%2Asqrt%285%29%2Asqrt%2822%29%29%2A%287sqrt%282%29%29%2A%28sqrt%283%29%2Asqrt%2831%29%29+=+2%2A5%2A7%2A7%2Asqrt%285%29%2Asqrt%282%2A11%29%2Asqrt%282%29%2Asqrt%283%29%2Asqrt%2831%29+=+2%2A5%2A7%2A7%2Asqrt%285%29%2Asqrt%282%29%2Asqrt%2811%29%2Asqrt%282%29%2Asqrt%283%29%2Asqrt%2831%29+=+2%2A5%2A7%2A7%2Asqrt%282%29%2Asqrt%282%29%2Asqrt%285%29%2Asqrt%2811%29%2Asqrt%283%29%2Asqrt%2831%29+=+2%2A2%2A5%2A7%2A7%2Asqrt%285%29%2Asqrt%2811%29%2Asqrt%283%29%2Asqrt%2831%29+=+980sqrt%285%2A11%2A3%2A31%29+=+980sqrt%285115%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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