document.write( "Question 106220: What is the smallest number that is divisible by each of the numbers 1 through 10? \n" ); document.write( "

Algebra.Com's Answer #77295 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find the least common denominator.
\n" ); document.write( "Break down all of the numbers in their prime factors.
\n" ); document.write( "Find the product of the prime factors with the highest power.
\n" ); document.write( " $\"1=1%2A1\"$
\n" ); document.write( " $\"2=1%2A2\"$
\n" ); document.write( " $\"3=1%2A3\"$
\n" ); document.write( " $\"4=2%2A2\"$
\n" ); document.write( " $\"5=1%2Ahighlight%285%29\"$
\n" ); document.write( " $\"6=2%2A3\"$
\n" ); document.write( " $\"7=1%2Ahighlight%287%29\"$
\n" ); document.write( " $\"8=highlight%282%2A2%2A2%29\"$
\n" ); document.write( " $\"9=highlight%283%2A3%29\"$
\n" ); document.write( " $\"10=2%2A5\"$
\n" ); document.write( "Primes are 2,3,5,and 7.
\n" ); document.write( "The highest power of the primes is $\"2%5E3\"$ , $\"3%5E2\"$ , $\"5%5E1\"$ , and $\"7%5E1\"$ .
\n" ); document.write( "The product is,
\n" ); document.write( "LCD= $\"2%5E3%2A3%5E2%2A5%5E1%2A7%5E1\"$
\n" ); document.write( "LCD= $\"8%2A9%2A5%2A7\"$
\n" ); document.write( "LCD= 2520. \n" ); document.write( "

\n" );