Given numbers are 491,903,278,572,311

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

The LCM of 491,903,278,572,311 is 10963278850524.

Find LCM of 491,903,278,572,311 with Prime Factorization

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

2 x 491 x 903 x 139 x 286 x 311 = 10963278850524

Therefore, the lowest common multiple of 491,903,278,572,311 is 10963278850524.

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.

491 x 903 x 278 x 572 x 311 = 21926557701048

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.

491 : 1, 491

903 : 1, 3, 7, 21, 43, 129, 301, 903

278 : 1, 2, 139, 278

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,903,278,572,311, is 1.

Now, the common factors can be found like this.

491:491

903:3x 7x 43

278:2x 139

572:2x 2x 11x 13

311:311

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

2 = 2

Therefore, the value for common factors is 2.

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 = 21926557701048/(1x2)

LCM = 21926557701048/2

LCM = 10963278850524

Thus, we can understand that the LCM of 491,903,278,572,311 is 10963278850524.

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

• LCM of 317, 657, 602, 431, 560
• LCM of 629, 939, 203, 756, 324
• LCM of 681, 179, 962, 130, 759
• LCM of 816, 181, 315, 132, 321
• LCM of 907, 102, 800, 342, 860

1. What is the LCM of 491, 903, 278, 572, 311?

Answer: LCM of 491, 903, 278, 572, 311 is 10963278850524.

2. How to calculate the LCM of 491, 903, 278, 572, 311?

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 491, 903, 278, 572, 311.

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}.