document.write( "Question 106219: What is the smallest number that is divisible by each of the numbers 1 through 10? \n" ); document.write( "
Algebra.Com's Answer #77277 by HyperBrain(694)\"\" \"About 
You can put this solution on YOUR website!
The number is the LEAST COMMON MULTIPLE of 1,2,3,4,5,6,7,8,9, and 10\r
\n" ); document.write( "\n" ); document.write( "To compute the LCM, first let's find the prime factorizations.\r
\n" ); document.write( "\n" ); document.write( "\"1=1\"\r
\n" ); document.write( "\n" ); document.write( "\"2=2\"\r
\n" ); document.write( "\n" ); document.write( "\"3=3\"\r
\n" ); document.write( "\n" ); document.write( "\"4=2%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"5=5\"\r
\n" ); document.write( "\n" ); document.write( "\"6=2%2A3\"\r
\n" ); document.write( "\n" ); document.write( "\"7=7\"\r
\n" ); document.write( "\n" ); document.write( "\"8=2%5E3\"\r
\n" ); document.write( "\n" ); document.write( "\"9=3%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"10=2%2A5\"\r
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\n" ); document.write( "\n" ); document.write( "As you can see the common multiples are 2 and 3.But, the greatest power of 2 calculated is {{2^3}}} and for 3, \"3%5E2\"\r
\n" ); document.write( "\n" ); document.write( "We multiply them both.\r
\n" ); document.write( "\n" ); document.write( "\"2%5E3+%2A+3%5E2=8%2A27=216\"\r
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\n" ); document.write( "\n" ); document.write( "let's also multiply the OTHER factors----5 and 7\r
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\n" ); document.write( "\n" ); document.write( "\"216%2A5%2A7=216%2A35=7560\"\r
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\n" ); document.write( "\n" ); document.write( "Therfore, the number you're up to is 7560\r
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\n" ); document.write( "\n" ); document.write( "Power up,
\n" ); document.write( "Hyperbrain!
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