document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114689>Question 114689</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find the LCM of a number?Can you please give me a couple of examples to study also.THANKS </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83453 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=83453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Method 1 \r<BR>\n" );
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document.write( "Simply list the multiples of each number (multiply by 2, 3, 4, etc.) then look for the smallest number that appears in each list. \r<BR>\n" );
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document.write( "Example: Find the least common multiple for 5, 6, and 15. <BR>\n" );
document.write( "First we list the multiples of each number. \r<BR>\n" );
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document.write( "Multiples of 5 are 10, 15, 20, 25, 30, 35, 40,...\r<BR>\n" );
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document.write( "Multiples of 6 are 12, 18, 24, 30, 36, 42, 48,...\r<BR>\n" );
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document.write( "Multiples of 15 are 30, 45, 60, 75, 90,....\r<BR>\n" );
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document.write( "Now, when you look at the list of multiples, you can see that 30 is the smallest number that appears in each list. <BR>\n" );
document.write( "Therefore, the least common multiple of 5, 6 and 15 is 30. \r<BR>\n" );
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document.write( "Find the least common multiple of 5, 6 and 15. \r<BR>\n" );
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document.write( "Factor into primes\r<BR>\n" );
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document.write( "Prime factorization of 5 is 5\r<BR>\n" );
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document.write( "Prime factorization of 6 is 2 x 3\r<BR>\n" );
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document.write( "Prime factorization of 15 is 3 x 5\r<BR>\n" );
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document.write( "Notice that the different primes are 2, 3 and 5.\r<BR>\n" );
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document.write( "Now, we do Step #1 - Count the number of times each prime number appears in each of the factorizations...\r<BR>\n" );
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document.write( "The count of primes in 5 is one 5\r<BR>\n" );
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document.write( "The count of primes in 6 is one 2 and one 3\r<BR>\n" );
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document.write( "The count of primes in 15 is one 3 and one 5\r<BR>\n" );
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document.write( "Step #2 - For each prime number, take the largest of these counts. So we have...\r<BR>\n" );
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document.write( "The largest count of 2s is one\r<BR>\n" );
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document.write( "The largest count of 3s is one\r<BR>\n" );
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document.write( "The largest count of 5s is one\r<BR>\n" );
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document.write( "Step #3 - Since we now know the count of each prime number, you simply  - write down that prime number as many times as you counted for it in step 2. \r<BR>\n" );
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document.write( "Here they are...\r<BR>\n" );
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document.write( "2, 3, 5\r<BR>\n" );
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document.write( "Step #4 - The least common multiple is the product of all the prime numbers written down.\r<BR>\n" );
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document.write( "2 x 3 x 5 = 30\r<BR>\n" );
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document.write( "Therefore, the least common multiple of 5, 6 and 15 is 30.<BR>\n" );
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