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What is the smallest number that is divisible by 6, 25, 256 and 24.

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timw996 | Student, Grade 10 | (Level 1) Salutatorian

Posted September 27, 2013 at 2:37 PM via web

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What is the smallest number that is divisible by 6, 25, 256 and 24.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 27, 2013 at 2:41 PM (Answer #1)

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The smallest number divisible by two numbers is referred to as their lowest common multiple or LCM.

The lowest common multiple of 6, 25, 256 and 24 has to be determined.

6 = 3*2

25 = 5^2

256 = 2^8

24 = 2^3*3

The LCM is 2^8*5^2*3 = 19200

The smallest number that is divisible by 6, 25, 256 and 24 is 19200

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