Given numbers are 426,511,702,780

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

The LCM of 426,511,702,780 is 254692620.

Find LCM of 426,511,702,780 with Prime Factorization

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

2 x 3 x 13 x 71 x 511 x 9 x 10 = 254692620

Therefore, the lowest common multiple of 426,511,702,780 is 254692620.

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.

426 x 511 x 702 x 780 = 119196146160

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

511 : 1, 7, 73, 511

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,511,702,780, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

511:7x 73

702:2x 3x 3x 3x 13

780:2x 2x 3x 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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 119196146160/(1x468)

LCM = 119196146160/468

LCM = 254692620

Thus, we can understand that the LCM of 426,511,702,780 is 254692620.

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

• LCM of 311, 332, 200, 550
• LCM of 829, 267, 770, 688
• LCM of 795, 258, 358, 319
• LCM of 151, 582, 626, 803
• LCM of 514, 414, 363, 127

1. What is the LCM of 426, 511, 702, 780?

Answer: LCM of 426, 511, 702, 780 is 254692620.

2. How to calculate the LCM of 426, 511, 702, 780?

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 426, 511, 702, 780.

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}.