Given numbers are 814,204,542,862

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

The LCM of 814,204,542,862 is 9697753428.

Find LCM of 814,204,542,862 with Prime Factorization

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

2 x 407 x 102 x 271 x 431 = 9697753428

Therefore, the lowest common multiple of 814,204,542,862 is 9697753428.

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 204 x 542 x 862 = 77582027424

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

542 : 1, 2, 271, 542

862 : 1, 2, 431, 862

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,204,542,862, is 2.

Now, the common factors can be found like this.

814:2x 11x 37

204:2x 2x 3x 17

542:2x 271

862:2x 431

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 77582027424/(2x4)

LCM = 77582027424/8

LCM = 9697753428

Thus, we can understand that the LCM of 814,204,542,862 is 9697753428.

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

• LCM of 247, 357, 790, 693
• LCM of 378, 762, 926, 306
• LCM of 144, 399, 653, 900
• LCM of 235, 930, 560, 158
• LCM of 911, 855, 712, 418

1. What is the LCM of 814, 204, 542, 862?

Answer: LCM of 814, 204, 542, 862 is 9697753428.

2. How to calculate the LCM of 814, 204, 542, 862?

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, 204, 542, 862.

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}.