document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005689>Question 1005689</A>: <I><SPAN STYLE=\"word-break: break-all;\"> three whole numbers have capacities of 24,56 and 120 litres. What is the volume of the largest container that can be used to fill each of them an exact number of times?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621839 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=621839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> three whole numbers have capacities of 24,56 and 120 litres. What is the volume of the largest container that can be used to fill each of them an exact number of times? <BR>\n" );
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document.write( "There is no largest container.<BR>\n" );
document.write( "If you mean smallest, it's the LCM, the Least Common Multiple of 24, 56 & 120.<BR>\n" );
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document.write( "You can find that by factoring each of the 3 capacities, then using the highest power of each prime factor.<BR>\n" );
document.write( "24 = 2*2*2*3<BR>\n" );
document.write( "56 = 2*2*2*7<BR>\n" );
document.write( "etc.<BR>\n" );
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document.write( "But, 120 = 24*5, so the 24 can be ignored. 120 has all the factors except the 7.<BR>\n" );
document.write( "--> 7*120 = 840 liters<BR>\n" );
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