chuctran56221 chuctran56221
  • 13-11-2018
  • Mathematics
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Omar says that the least common multiple of 9 and 6 is 54. Which is true about Omar's statement?

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tonb
tonb tonb
  • 13-11-2018

It is not true. You can "see" quite easily that 9x2 = 3x6 = 18.

Here's the trick to find the least common multiple:

Factorize both numbers:

9 = 3 x 3

6 = 3 x 2

Now for each factor, take the case of the most occurrances.

For 3 it is two times in 9, so we take 3x3

For 2 it is once in 5, so we take 2

Multiply these:

3x3x2 = 18, the least common multiple.

Another example: LCM(30, 45)


30 = 2 × 3 × 5

45 = 3 × 3 × 5

2 x 3x3 x 5 = 90

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