Given numbers are 394,214,370,404

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

The LCM of 394,214,370,404 is 1575444460.

Find LCM of 394,214,370,404 with Prime Factorization

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

2 x 197 x 107 x 185 x 202 = 1575444460

Therefore, the lowest common multiple of 394,214,370,404 is 1575444460.

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.

394 x 214 x 370 x 404 = 12603555680

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.

394 : 1, 2, 197, 394

214 : 1, 2, 107, 214

370 : 1, 2, 5, 10, 37, 74, 185, 370

404 : 1, 2, 4, 101, 202, 404

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,214,370,404, is 2.

Now, the common factors can be found like this.

394:2x 197

214:2x 107

370:2x 5x 37

404:2x 2x 101

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 = 12603555680/(2x4)

LCM = 12603555680/8

LCM = 1575444460

Thus, we can understand that the LCM of 394,214,370,404 is 1575444460.

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

• LCM of 507, 307, 493, 320
• LCM of 806, 221, 828, 662
• LCM of 609, 489, 278, 536
• LCM of 249, 851, 159, 200
• LCM of 563, 866, 143, 396

1. What is the LCM of 394, 214, 370, 404?

Answer: LCM of 394, 214, 370, 404 is 1575444460.

2. How to calculate the LCM of 394, 214, 370, 404?

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 394, 214, 370, 404.

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}.