document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39077>Question 39077</A>: <I><SPAN STYLE=\"word-break: break-all;\">   Can someone out there help me with this problem?\r<BR>\n" );
document.write( "\n" );
document.write( "   How do you find the least common multiple (LCM) for the following group of numbers.<BR>\n" );
document.write( "   12, 20, and 35.   Explain if you can how you come up with your answer.<BR>\n" );
document.write( "  Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24499 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=24499\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> LCM OF 10,20 AND 35<BR>\n" );
document.write( "LEAST COMMON MULTIPLE ..THAT IS THE SMALLEST NUMBER WHICH IS DIVISIBLE BY ALL THE 3 ABOVE NUMBERS .ONE METHOD IS TO BREAK THESE NUMBERS IN TO THEIR PRIME FACTORS.THAT IS <BR>\n" );
document.write( "TAKE 10...ITS FACTORS ARE 2*5<BR>\n" );
document.write( "10=2*5.....................................I..SIMILARLY<BR>\n" );
document.write( "20=2*2*5...............................II<BR>\n" );
document.write( "35=5*7............................III<BR>\n" );
document.write( "NOW TO GET LCM ,WE LOOK FOR COMMON FACTORS IN ATLEAST 2 OF THE ABOVE EQNS.I,II,III<BR>\n" );
document.write( "WE FIND ONE 2 IS COMMON IN I&II<BR>\n" );
document.write( "AND ONE 5 IS COMMON IN I,II,III<BR>\n" );
document.write( "SO WE TAKE  THOSE COMMON FACTORS,LIST THEM  AND FIND THEIR PRODUCT..<BR>\n" );
document.write( "LIST OF COMMON FACTORS....<BR>\n" );
document.write( "2 AND 5.<BR>\n" );
document.write( "THEIR PRODUCT =PCF(PRODUCT OF COMMON FACTORS)<BR>\n" );
document.write( "2*5=10............................................IV<BR>\n" );
document.write( "NOW WE  STRIKE OUT THE COMMON FACTORS AND WE LIST THE REMAINING <BR>\n" );
document.write( "NONE IN I(AS ONE 2 AND ONE 5 ARE LISTED IN COMMON FACTORS)<BR>\n" );
document.write( "2 IN II (AS ONLY ONE 2 AND ONE 5 ARE LISTED IN COMMON FACTORS)<BR>\n" );
document.write( "7 IN III(AS ONLY ONE 5 IS LISTED IN COMMON FACTORS)<BR>\n" );
document.write( "SO LIST OF NON COMMON FACTORS..<BR>\n" );
document.write( "2 AND 7<BR>\n" );
document.write( "THEIR PRODUCT = PNCF<BR>\n" );
document.write( "2*7=14............................................V<BR>\n" );
document.write( "NOW LCM IS GIVEN BY PRODUCT OF COMMON ANF NON COMMON FACTORS..IV AND V.<BR>\n" );
document.write( "LCM=10*14=140.. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );