document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56530>Question 56530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag contains 100 marbles. The marbles can be divided into equal shares among 6,7 or 8 children with 1 marble left over each time. What is the least number of marbles that the box can contain? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38366 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=38366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bag contains 100 marbles. The marbles can be divided into equal shares among 6,7 or 8 children with 1 marble left over each time. What is the least number of marbles that the box can contain?<BR>\n" );
document.write( "LET NUMBER OF MARBLES = N<BR>\n" );
document.write( "SINCE N LEAVES THE SAME REMAINDER OF 1 WHEN DIVIDED WITH 6,7,8...FIND LCM OF 6,7&8 AND ADD 1 TO IT TO GET MINIMUM VALUE FOR N<BR>\n" );
document.write( "2|6,7,8<BR>\n" );
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document.write( "  3,7,4<BR>\n" );
document.write( "SO LCM = 2*3*7*4 = 168<BR>\n" );
document.write( "N = 168+1 = 169 IS THE MINIMUM NUMBER OF MARBLES NEEDED. <BR>\n" );
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