document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1047843>Question 1047843</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a light house, three light flash every 120 sec ,72sec, 135 sec simultaneously at 8:00:00  according to the  watch which loses 2sec every minute.When will they  flash again according to this watch? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #663406 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=663406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a light house, three light flash every 120 sec ,72sec, 135 sec simultaneously at 8:00:00 according to the watch which loses 2sec every minute.When will they flash again according to this watch? <BR>\n" );
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document.write( "Find the least common multiple or 120, 72, and 135<BR>\n" );
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document.write( "120 = 10*12 = 2*5*2^2*3 = 2^3*3*5<BR>\n" );
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document.write( "72 = 8*9 = 2^3*3^2<BR>\n" );
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document.write( "135 = 27*5 = 3^3*5<BR>\n" );
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document.write( "lcm = 2^3*3^3*5 = 72*5 = 360 seconds = 6 minutes<BR>\n" );
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document.write( "Note:: 360/60 = 6 (# of times it loses 2 sec in 360 seconds)<BR>\n" );
document.write( "Ans: 8:00 + 6 min - 12 sec = 8:05 + 48 sec<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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