document.write( "Question 1090940: What is the least number that must be added to 2000 so that
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Algebra.Com's Answer #705392 by Edwin McCravy(20056) $\"\"$ $\"About$

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What is the least number that must be added to 2000 so that
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document.write( "The integers divisible by any set of positive \r\n" );
document.write( "integers are the multiples of their LCM\r\n" );
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document.write( " 10 = 2          ×5\r\n" );
document.write( " 12 = 2×2    ×3\r\n" );
document.write( " 16 = 2×2×2×2\r\n" );
document.write( " 18 = 2      ×3×3 \r\n" );
document.write( "LCM = 2×2×2×2×3×3×5 = 720\r\n" );
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document.write( "The multiples of 720 are divisible by 10,12,16 and 18.\r\n" );
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document.write( "2000/720 = 2.777777...\r\n" );
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document.write( "The least integer greater than that is 3, so 3×720 = 2160 is\r\n" );
document.write( "the least integer greater than 2000 that is divisible by \r\n" );
document.write( "10,12,16 and 18.\r\n" );
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document.write( "We want to know  the least number that must be added to 2000\r\n" );
document.write( "that will give 2160.\r\n" );
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document.write( "Answer 2160-2000 = 160\r\n" );
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document.write( "Edwin

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