Given numbers are 913,312,413,426,930

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

The LCM of 913,312,413,426,930 is 1294689035640.

Find LCM of 913,312,413,426,930 with Prime Factorization

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

2 x 3 x 913 x 52 x 413 x 71 x 155 = 1294689035640

Therefore, the lowest common multiple of 913,312,413,426,930 is 1294689035640.

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.

913 x 312 x 413 x 426 x 930 = 46608805283040

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.

913 : 1, 11, 83, 913

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

413 : 1, 7, 59, 413

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

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,312,413,426,930, is 1.

Now, the common factors can be found like this.

913:11x 83

312:2x 2x 2x 3x 13

413:7x 59

426:2x 3x 71

930:2x 3x 5x 31

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 3 = 36

Therefore, the value for common factors is 36.

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 = 46608805283040/(1x36)

LCM = 46608805283040/36

LCM = 1294689035640

Thus, we can understand that the LCM of 913,312,413,426,930 is 1294689035640.

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

• LCM of 163, 298, 532, 416, 649
• LCM of 147, 729, 192, 510, 665
• LCM of 675, 182, 200, 156, 336
• LCM of 617, 821, 213, 506, 948
• LCM of 529, 442, 866, 678, 811

1. What is the LCM of 913, 312, 413, 426, 930?

Answer: LCM of 913, 312, 413, 426, 930 is 1294689035640.

2. How to calculate the LCM of 913, 312, 413, 426, 930?

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 913, 312, 413, 426, 930.

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}.