Question

Omar says that the least common multiple of 9 and 6 is 54. Which is true about Omar's statement?

Answer 1

Omar's statement is not correct. The LCM of 9 and 6 is 18, not 54.

Step-by-step explanation:

Omar's statement is not correct. The least common multiple (LCM) of two numbers is the smallest multiple that both numbers have in common. To find the LCM of 9 and 6, we can list the multiples of each number and find the smallest multiple they have in common:

Multiples of 9: 9, 18, 27, 36, 45, ...

Multiples of 6: 6, 12, 18, 24, 30, 36, ...

The LCM of 9 and 6 is 18, not 54.

Therefore, Omar's statement is not true.

Answer 2

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