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)![]() ![]() ![]() 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( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \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, \n" ); document.write( "\n" ); document.write( "We multiply them both.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let's also multiply the OTHER factors----5 and 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therfore, the number you're up to is 7560\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Power up, \n" ); document.write( "Hyperbrain! \n" ); document.write( " |