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Add the first three common multiples of 8 and 12 and find what least number should be added to it,so that, it becomes a multiples of 11?
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Add the first three common multiples of 8 and 12 and find what least n...
Finding Common Multiples of 8 and 12
To identify the first three common multiples of 8 and 12, we first need to find their least common multiple (LCM).
  • Multiples of 8: 8, 16, 24, 32, 40, 48, ...
  • Multiples of 12: 12, 24, 36, 48, 60, ...

The common multiples here are:
  • 24
  • 48
  • 72

Thus, the first three common multiples of 8 and 12 are 24, 48, and 72.
Calculating the Sum
Now, we add these common multiples together:
  • 24 + 48 + 72 = 144

Finding the Required Number to Make it a Multiple of 11
Next, we need to check how much should be added to 144 so that it becomes a multiple of 11.
  • To find the closest multiple of 11, divide 144 by 11: 144 ÷ 11 = 13 remainder 1.
  • The closest multiple of 11 below 144 is 143 (11 × 13).
  • The closest multiple of 11 above 144 is 154 (11 × 14).

Now calculate the difference:
  • 154 - 144 = 10

Conclusion
Therefore, the least number that should be added to 144 to make it a multiple of 11 is:
  • 10
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Add the first three common multiples of 8 and 12 and find what least number should be added to it,so that, it becomes a multiples of 11?
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