document.write( "Question 1119569: list three digit smallest and largest number which is divided by 8,12 and 16 respectfully
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Algebra.Com's Answer #735132 by ikleyn(52931) $\"\"$ $\"About$

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document.write( "    List three-digit smallest and largest numbers what are divisible by 8, 12 and 16 respectively.\r\n" );
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document.write( "The Least Common Multiple of the numbers 8, 12 an 16 is 48.\r\n" );
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document.write( "Therefore, the integer numbers that are divisible by 8, 12 and 16 are those and only those that are multiple of 48.\r\n" );
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document.write( "The smallest 3-digit integer multiple of 48 is  144.\r\n" );
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document.write( "    How to find it ? - Divide 100 by 48:   = 2.083 (approximately);\r\n" );
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document.write( "    So, consider 48*3 - it is exactly 144.\r\n" );
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document.write( "The largest 3-digit integer multiple of 48 is  960.\r\n" );
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document.write( "    How to find it ? - Divide 999 by 48:   = 20.81 (approximately);\r\n" );
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document.write( "    So, consider 48*20 - it is exactly 960.\r\n" );
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document.write( "Answer.  The largest 3-digit integer divisible by 8, 12 and 16 is 960.\r\n" );
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document.write( "         The smallest 3-digit integer divisible by 8, 12 and 16 is 144.\r\n" );
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