Given numbers are 831,756,399,511,561

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

The LCM of 831,756,399,511,561 is 54314981028.

Find LCM of 831,756,399,511,561 with Prime Factorization

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

3 x 7 x 277 x 36 x 19 x 73 x 187 = 54314981028

Therefore, the lowest common multiple of 831,756,399,511,561 is 54314981028.

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.

831 x 756 x 399 x 511 x 561 = 71858719900044

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.

831 : 1, 3, 277, 831

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

399 : 1, 3, 7, 19, 21, 57, 133, 399

511 : 1, 7, 73, 511

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,756,399,511,561, is 1.

Now, the common factors can be found like this.

831:3x 277

756:2x 2x 3x 3x 3x 7

399:3x 7x 19

511:7x 73

561:3x 11x 17

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

3x 3x 3x 7x 7 = 1323

Therefore, the value for common factors is 1323.

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 = 71858719900044/(1x1323)

LCM = 71858719900044/1323

LCM = 54314981028

Thus, we can understand that the LCM of 831,756,399,511,561 is 54314981028.

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

• LCM of 377, 380, 166, 664, 907
• LCM of 110, 932, 634, 839, 500
• LCM of 311, 264, 396, 191, 608
• LCM of 112, 654, 643, 679, 373
• LCM of 188, 329, 332, 591, 545

1. What is the LCM of 831, 756, 399, 511, 561?

Answer: LCM of 831, 756, 399, 511, 561 is 54314981028.

2. How to calculate the LCM of 831, 756, 399, 511, 561?

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 831, 756, 399, 511, 561.

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}.