Given numbers are 542,810,422,256,515

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

The LCM of 542,810,422,256,515 is 610638186240.

Find LCM of 542,810,422,256,515 with Prime Factorization

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

2 x 5 x 271 x 81 x 211 x 128 x 103 = 610638186240

Therefore, the lowest common multiple of 542,810,422,256,515 is 610638186240.

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.

542 x 810 x 422 x 256 x 515 = 24425527449600

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.

542 : 1, 2, 271, 542

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

422 : 1, 2, 211, 422

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

515 : 1, 5, 103, 515

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,810,422,256,515, is 1.

Now, the common factors can be found like this.

542:2x 271

810:2x 3x 3x 3x 3x 5

422:2x 211

256:2x 2x 2x 2x 2x 2x 2x 2

515:5x 103

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

2x 2x 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 24425527449600/(1x40)

LCM = 24425527449600/40

LCM = 610638186240

Thus, we can understand that the LCM of 542,810,422,256,515 is 610638186240.

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

• LCM of 568, 216, 280, 406, 242
• LCM of 599, 443, 432, 194, 673
• LCM of 146, 198, 494, 571, 972
• LCM of 228, 878, 269, 105, 566
• LCM of 809, 331, 716, 469, 999

1. What is the LCM of 542, 810, 422, 256, 515?

Answer: LCM of 542, 810, 422, 256, 515 is 610638186240.

2. How to calculate the LCM of 542, 810, 422, 256, 515?

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 542, 810, 422, 256, 515.

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}.