Given numbers are 617,840,814,260

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

The LCM of 617,840,814,260 is 2742219480.

Find LCM of 617,840,814,260 with Prime Factorization

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

2 x 2 x 5 x 617 x 42 x 407 x 13 = 2742219480

Therefore, the lowest common multiple of 617,840,814,260 is 2742219480.

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.

617 x 840 x 814 x 260 = 109688779200

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.

617 : 1, 617

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

814 : 1, 2, 11, 22, 37, 74, 407, 814

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,840,814,260, is 1.

Now, the common factors can be found like this.

617:617

840:2x 2x 2x 3x 5x 7

814:2x 11x 37

260:2x 2x 5x 13

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 = 109688779200/(1x40)

LCM = 109688779200/40

LCM = 2742219480

Thus, we can understand that the LCM of 617,840,814,260 is 2742219480.

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

• LCM of 671, 418, 967, 688
• LCM of 902, 219, 560, 729
• LCM of 352, 667, 317, 651
• LCM of 429, 836, 966, 470
• LCM of 323, 201, 996, 384

1. What is the LCM of 617, 840, 814, 260?

Answer: LCM of 617, 840, 814, 260 is 2742219480.

2. How to calculate the LCM of 617, 840, 814, 260?

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 617, 840, 814, 260.

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}.