Given numbers are 328,814,634,493

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

The LCM of 328,814,634,493 is 20862888376.

Find LCM of 328,814,634,493 with Prime Factorization

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

2 x 164 x 407 x 317 x 493 = 20862888376

Therefore, the lowest common multiple of 328,814,634,493 is 20862888376.

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.

328 x 814 x 634 x 493 = 83451553504

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

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

634 : 1, 2, 317, 634

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,814,634,493, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

814:2x 11x 37

634:2x 317

493:17x 29

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 = 83451553504/(1x4)

LCM = 83451553504/4

LCM = 20862888376

Thus, we can understand that the LCM of 328,814,634,493 is 20862888376.

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

• LCM of 691, 287, 320, 713
• LCM of 727, 634, 662, 767
• LCM of 404, 135, 561, 742
• LCM of 125, 199, 114, 470
• LCM of 967, 912, 634, 227

1. What is the LCM of 328, 814, 634, 493?

Answer: LCM of 328, 814, 634, 493 is 20862888376.

2. How to calculate the LCM of 328, 814, 634, 493?

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 328, 814, 634, 493.

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}.