document.write( "Question 557800: What is the smallest number that can be divided by all the numbers 1 to 10? \n" ); document.write( "
Algebra.Com's Answer #362776 by Edwin McCravy(20055)\"\" \"About 
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document.write( "Let the number be N\r\n" );
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document.write( " 1 = 1     so N must have factor 1 (every integer has factor 1, so we can ignore 1)\r\n" );
document.write( " 2 = 2     so N must have factor 2\r\n" );
document.write( " 3 = 3     so N must have factor 3\r\n" );
document.write( " 4 = 2*2   so N must have factor 2*2  \r\n" );
document.write( " 5 = 5     so N must have factor 5\r\n" );
document.write( " 6 = 2*3   so N must have factor 2*3\r\n" );
document.write( " 7 = 7     so N must have factor 7\r\n" );
document.write( " 8 = 2*2*2 so N must have factor 2*2*2\r\n" );
document.write( " 9 = 3*3   so N must have factor 3*3\r\n" );
document.write( "10 = 2*5   so N must have factor 2*5\r\n" );
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document.write( "So the smallest N can be and have at least as many of \r\n" );
document.write( "every factor above is the product of three 2's, two 3's, \r\n" );
document.write( "one 5, and one 7, which means\r\n" );
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document.write( "N = 2*2*2*3*3*5*7 = 2520\r\n" );
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document.write( "Edwin
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