Multiple choice

Find the least number which should be added to 1456 so that it is divisible by 6, 5 and 4 without leaving a remainder.

  1. 6

  2. 61

  3. 44

  4. 16
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C Correct answer
Explanation

Find the LCM of 6, 5, and 4, which is 60. Divide 1456 by 60: 1456 / 60 = 24 with a remainder of 16. To make it divisible, we need to add (60 - 16) = 44.

AI explanation

The least common multiple of 6, 5, and 4 is 60. We divide 1456 by 60, which gives a quotient of 24 and a remainder of 16. To make the number perfectly divisible by 60, we must add the difference between the divisor and the remainder, which is 60 minus 16, equaling 44. The required number is 44.

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