document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176346>Question 176346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> which is the samllest 3 digit number which is exactly divisible by 6,8, 12\r<BR>\n" );
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document.write( "which is the samllest 3 digit number which is exactly divisible by 8,10,12\r<BR>\n" );
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document.write( "which is the greatest 3 digit number which is exactly divisible by 6,8, 12<BR>\n" );
document.write( "which is the greatest 3 digit number which is exactly divisible by 8,10, 12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131441 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=131441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Break down each factor to its prime factors.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=2%2A3=2%5E1%2A3%5E1 ALIGN=MIDDLE  ALT=\"6=2%2A3=2%5E1%2A3%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=2%2A2%2A2=2%5E3 ALIGN=MIDDLE  ALT=\"8=2%2A2%2A2=2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12=2%2A2%2A3=2%5E2%2A3%5E1 ALIGN=MIDDLE  ALT=\"12=2%2A2%2A3=2%5E2%2A3%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You need to keep the max exponent for each prime factor.<BR>\n" );
document.write( "The lowest common factor would be <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3%2A3%5E1=8%2A3=24 ALIGN=MIDDLE  ALT=\"2%5E3%2A3%5E1=8%2A3=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We need to find the common factor greater than 99.<BR>\n" );
document.write( "Multiplying by 4 would only reach 96. <BR>\n" );
document.write( "Multiply by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2A5=120 ALIGN=MIDDLE  ALT=\"24%2A5=120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\"which is the smallest 3 digit number which is exactly divisible by 6,8, 12\"<BR>\n" );
document.write( "120.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=2%2A2%2A2=2%5E3 ALIGN=MIDDLE  ALT=\"8=2%2A2%2A2=2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10=2%2A5=2%5E1%2A5%5E1 ALIGN=MIDDLE  ALT=\"10=2%2A5=2%5E1%2A5%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12=2%2A2%2A3=2%5E2%2A3%5E1 ALIGN=MIDDLE  ALT=\"12=2%2A2%2A3=2%5E2%2A3%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The lowest common factor would be <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3%2A3%5E1%2A5%5E1=8%2A3%2A5=120 ALIGN=MIDDLE  ALT=\"2%5E3%2A3%5E1%2A5%5E1=8%2A3%2A5=120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Its also 3 digits.<BR>\n" );
document.write( "\"which is the samllest 3 digit number which is exactly divisible by 8,10,12\"<BR>\n" );
document.write( "120.<BR>\n" );
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document.write( ".\r<BR>\n" );
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document.write( "Again starting with 24 (6,8,12), the largest multiplier than keeps the product under 1000 is 41.<BR>\n" );
document.write( "\"which is the greatest 3 digit number which is exactly divisible by 6,8, 12\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41%2A24=984 ALIGN=MIDDLE  ALT=\"41%2A24=984\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Again starting with 120 (8,10,12), the largest multiplier than keeps the product under 1000 is 8.<BR>\n" );
document.write( "\"which is the greatest 3 digit number which is exactly divisible by 6,8, 12\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2A8=960 ALIGN=MIDDLE  ALT=\"120%2A8=960\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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