Given numbers are 408,377,772,984,580

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

The LCM of 408,377,772,984,580 is 6085730040.

Find LCM of 408,377,772,984,580 with Prime Factorization

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

2 x 2 x 2 x 3 x 29 x 17 x 13 x 193 x 41 x 5 = 6085730040

Therefore, the lowest common multiple of 408,377,772,984,580 is 6085730040.

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.

408 x 377 x 772 x 984 x 580 = 67770689725440

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

377 : 1, 13, 29, 377

772 : 1, 2, 4, 193, 386, 772

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,377,772,984,580, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

377:13x 29

772:2x 2x 193

984:2x 2x 2x 3x 41

580:2x 2x 5x 29

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 2x 2x 2x 2x 3x 29 = 11136

Therefore, the value for common factors is 11136.

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 = 67770689725440/(1x11136)

LCM = 67770689725440/11136

LCM = 6085730040

Thus, we can understand that the LCM of 408,377,772,984,580 is 6085730040.

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

• LCM of 298, 507, 551, 717, 253
• LCM of 159, 679, 409, 699, 540
• LCM of 291, 191, 806, 290, 368
• LCM of 111, 369, 672, 798, 609
• LCM of 919, 537, 845, 965, 535

1. What is the LCM of 408, 377, 772, 984, 580?

Answer: LCM of 408, 377, 772, 984, 580 is 6085730040.

2. How to calculate the LCM of 408, 377, 772, 984, 580?

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 408, 377, 772, 984, 580.

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}.