document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58446>Question 58446</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having trouble with a word problem, not from a book and don't understand how to find an equation for this one:<BR>\n" );
document.write( "Use the digits 0,1,2,3,4,5,6,7,8,9 and form a 10 digit number.  It must be divisible by every number starting at 1 through 18, including 18.  Each digit must be used only one time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41894 by </B><A HREF=/tutors/aboutme.mpl?userid=joyofmath><B>joyofmath(189)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=joyofmath><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=41894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This problem is tough. I used a computer to help!\r<BR>\n" );
document.write( "\n" );
document.write( "The least common multiple of 1*2*3...*18 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E4%2A3%5E2%2A5%2A7%2A11%2A13%2A17+=+12252240 ALIGN=MIDDLE  ALT=\"2%5E4%2A3%5E2%2A5%2A7%2A11%2A13%2A17+=+12252240\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "So, the answer is a multiple of 12252240.\r<BR>\n" );
document.write( "\n" );
document.write( "I wrote a computer program to find all multiples of 12252240 that had 10 unique digits. The numbers that came back were 2438195760 3785942160 4753869120<BR>\n" );
document.write( "and 4876391520. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );