document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=616886>Question 616886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The alarm of Clock A rings every 4 minutes, the alarm of Clock B rings every 6 minutes, the alarm of Clock C rings every 7 minutes. If the alarms of all three clock's alarms ring at 12:00nn, the next time at which at the alarms will ring at exactly the same time is? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387937 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=387937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The alarm of Clock A rings every 4 minutes, the alarm of Clock B rings every 6 minutes, the alarm of Clock C rings every 7 minutes. If the alarms of all three clock's alarms ring at 12:00nn, the next time at which at the alarms will ring at exactly the same time is?<BR>\n" );
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document.write( "Find the LCM (lowest common multiple) of 4, 6, and 7:<BR>\n" );
document.write( "factor each to prime numbers:<BR>\n" );
document.write( "4: 2 2<BR>\n" );
document.write( "6: 2 3<BR>\n" );
document.write( "7: 7<BR>\n" );
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document.write( "LCM: 2*2*3*7 = 84 minutes<BR>\n" );
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document.write( "12:00 + 84 minutes = 1:24<BR>\n" );
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