Given numbers are 165,27,549

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 165,27,549 is 90585.

Find LCM of 165,27,549 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

3 x 3 x 55 x 3 x 61 = 90585

Therefore, the lowest common multiple of 165,27,549 is 90585.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

165 x 27 x 549 = 2445795

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

165 : 1, 3, 5, 11, 15, 33, 55, 165

27 : 1, 3, 9, 27

549 : 1, 3, 9, 61, 183, 549

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,27,549, is 3.

Now, the common factors can be found like this.

165:3x 5x 11

27:3x 3x 3

549:3x 3x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3 = 9

Therefore, the value for common factors is 9.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 2445795/(3x9)

LCM = 2445795/27

LCM = 90585

Thus, we can understand that the LCM of 165,27,549 is 90585.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 578, 55, 207
• LCM of 386, 74, 162
• LCM of 940, 23, 355
• LCM of 285, 77, 545
• LCM of 631, 72, 612

1. What is the LCM of 165, 27, 549?

Answer: LCM of 165, 27, 549 is 90585.

2. How to calculate the LCM of 165, 27, 549?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 165, 27, 549.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.