Given numbers are 634,338,458,598,312

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

The LCM of 634,338,458,598,312 is 6772055784.

Find LCM of 634,338,458,598,312 with Prime Factorization

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

2 x 13 x 317 x 13 x 229 x 23 x 12 = 6772055784

Therefore, the lowest common multiple of 634,338,458,598,312 is 6772055784.

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.

634 x 338 x 458 x 598 x 312 = 18311638839936

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.

634 : 1, 2, 317, 634

338 : 1, 2, 13, 26, 169, 338

458 : 1, 2, 229, 458

598 : 1, 2, 13, 23, 26, 46, 299, 598

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,338,458,598,312, is 2.

Now, the common factors can be found like this.

634:2x 317

338:2x 13x 13

458:2x 229

598:2x 13x 23

312:2x 2x 2x 3x 13

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 13x 13 = 1352

Therefore, the value for common factors is 1352.

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 = 18311638839936/(2x1352)

LCM = 18311638839936/2704

LCM = 6772055784

Thus, we can understand that the LCM of 634,338,458,598,312 is 6772055784.

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

• LCM of 295, 306, 979, 565, 173
• LCM of 150, 939, 740, 196, 612
• LCM of 467, 218, 873, 602, 548
• LCM of 437, 498, 914, 355, 508
• LCM of 524, 783, 355, 359, 921

1. What is the LCM of 634, 338, 458, 598, 312?

Answer: LCM of 634, 338, 458, 598, 312 is 6772055784.

2. How to calculate the LCM of 634, 338, 458, 598, 312?

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 634, 338, 458, 598, 312.

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}.