Given numbers are 540,605,731,231,795

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

The LCM of 540,605,731,231,795 is 17720273340.

Find LCM of 540,605,731,231,795 with Prime Factorization

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

3 x 5 x 11 x 36 x 11 x 731 x 7 x 53 = 17720273340

Therefore, the lowest common multiple of 540,605,731,231,795 is 17720273340.

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.

540 x 605 x 731 x 231 x 795 = 43857676516500

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

605 : 1, 5, 11, 55, 121, 605

731 : 1, 17, 43, 731

231 : 1, 3, 7, 11, 21, 33, 77, 231

795 : 1, 3, 5, 15, 53, 159, 265, 795

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,605,731,231,795, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

605:5x 11x 11

731:17x 43

231:3x 7x 11

795:3x 5x 53

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

3x 3x 5x 5x 11 = 2475

Therefore, the value for common factors is 2475.

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 = 43857676516500/(1x2475)

LCM = 43857676516500/2475

LCM = 17720273340

Thus, we can understand that the LCM of 540,605,731,231,795 is 17720273340.

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

• LCM of 414, 712, 687, 464, 101
• LCM of 326, 762, 787, 323, 701
• LCM of 733, 704, 964, 676, 480
• LCM of 654, 691, 608, 974, 878
• LCM of 157, 209, 587, 139, 979

1. What is the LCM of 540, 605, 731, 231, 795?

Answer: LCM of 540, 605, 731, 231, 795 is 17720273340.

2. How to calculate the LCM of 540, 605, 731, 231, 795?

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 540, 605, 731, 231, 795.

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}.