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What is the smallest number which when divided by 24, 36 and 54 gives a remainder of 5

Question

What is the smallest number which when divided by 24, 36 and 54 gives a remainder of 5

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Solution

To find the smallest number which when divided by 24, 36 and 54 gives a remainder of 5, we need to follow these steps:

  1. Find the Least Common Multiple (LCM) of the three numbers (24, 36, 54). The LCM of 24, 36 and 54 is 216.

  2. Since we want the number to give a remainder of 5 when divided by 24, 36 or 54, we add the remainder to the LCM. So, 216 + 5 = 221.

Therefore, the smallest number which when divided by 24, 36 and 54 gives a remainder of 5 is 221.

This problem has been solved

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