Given numbers are 540,519,142,291

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

The LCM of 540,519,142,291 is 643383540.

Find LCM of 540,519,142,291 with Prime Factorization

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

2 x 3 x 90 x 173 x 71 x 97 = 643383540

Therefore, the lowest common multiple of 540,519,142,291 is 643383540.

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 519 x 142 x 291 = 11580903720

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

519 : 1, 3, 173, 519

142 : 1, 2, 71, 142

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,519,142,291, is 1.

Now, the common factors can be found like this.

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

519:3x 173

142:2x 71

291:3x 97

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 11580903720/(1x18)

LCM = 11580903720/18

LCM = 643383540

Thus, we can understand that the LCM of 540,519,142,291 is 643383540.

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

• LCM of 610, 136, 593, 280
• LCM of 767, 977, 635, 263
• LCM of 412, 506, 758, 652
• LCM of 617, 774, 313, 727
• LCM of 210, 640, 350, 690

1. What is the LCM of 540, 519, 142, 291?

Answer: LCM of 540, 519, 142, 291 is 643383540.

2. How to calculate the LCM of 540, 519, 142, 291?

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, 519, 142, 291.

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}.