document.write( "Question 334676: What is the least positive integer that is divisible by all whole numbers 1 to 9? \n" ); document.write( "
Algebra.Com's Answer #239809 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If it is divisible by 9, it is also divisible by 3, so include 9 as a factor but exclude 3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If it is divisible by 8, it is also divisible by 4 and 2, so include 8, but exclude 4 and 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You need 7.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If it is divisible by 2 and 3 then it is divisible by 6, so divisibility by 9 and 8 implies divisibility by 6, exclude 6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You need 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, your positive integer must have factors of 9, 8, 7, and 5. You can do the arithmetic.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "John \n" ); document.write( " \n" ); document.write( "My calculator said it, I believe it, that settles it \n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " |