Given numbers are 814,472,312,391

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

The LCM of 814,472,312,391 is 2929393896.

Find LCM of 814,472,312,391 with Prime Factorization

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

2 x 2 x 2 x 407 x 59 x 39 x 391 = 2929393896

Therefore, the lowest common multiple of 814,472,312,391 is 2929393896.

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.

814 x 472 x 312 x 391 = 46870302336

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.

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

472 : 1, 2, 4, 8, 59, 118, 236, 472

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

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,472,312,391, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

472:2x 2x 2x 59

312:2x 2x 2x 3x 13

391:17x 23

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 2 = 16

Therefore, the value for common factors is 16.

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 = 46870302336/(1x16)

LCM = 46870302336/16

LCM = 2929393896

Thus, we can understand that the LCM of 814,472,312,391 is 2929393896.

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

• LCM of 776, 825, 748, 480
• LCM of 640, 924, 732, 625
• LCM of 161, 750, 376, 396
• LCM of 429, 141, 698, 431
• LCM of 110, 504, 376, 431

1. What is the LCM of 814, 472, 312, 391?

Answer: LCM of 814, 472, 312, 391 is 2929393896.

2. How to calculate the LCM of 814, 472, 312, 391?

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 814, 472, 312, 391.

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}.