Given numbers are 338,522,678,413

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

The LCM of 338,522,678,413 is 4117045842.

Find LCM of 338,522,678,413 with Prime Factorization

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

2 x 3 x 169 x 87 x 113 x 413 = 4117045842

Therefore, the lowest common multiple of 338,522,678,413 is 4117045842.

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.

338 x 522 x 678 x 413 = 49404550104

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.

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

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

678 : 1, 2, 3, 6, 113, 226, 339, 678

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,522,678,413, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

522:2x 3x 3x 29

678:2x 3x 113

413:7x 59

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 3 = 12

Therefore, the value for common factors is 12.

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 = 49404550104/(1x12)

LCM = 49404550104/12

LCM = 4117045842

Thus, we can understand that the LCM of 338,522,678,413 is 4117045842.

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

• LCM of 836, 909, 581, 796
• LCM of 961, 734, 485, 558
• LCM of 144, 697, 290, 713
• LCM of 570, 710, 481, 433
• LCM of 191, 668, 595, 302

1. What is the LCM of 338, 522, 678, 413?

Answer: LCM of 338, 522, 678, 413 is 4117045842.

2. How to calculate the LCM of 338, 522, 678, 413?

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 338, 522, 678, 413.

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}.