Given numbers are 381,304,361,814

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

The LCM of 381,304,361,814 is 895666992.

Find LCM of 381,304,361,814 with Prime Factorization

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

2 x 19 x 381 x 8 x 19 x 407 = 895666992

Therefore, the lowest common multiple of 381,304,361,814 is 895666992.

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.

381 x 304 x 361 x 814 = 34035345696

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.

381 : 1, 3, 127, 381

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

361 : 1, 19, 361

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,304,361,814, is 1.

Now, the common factors can be found like this.

381:3x 127

304:2x 2x 2x 2x 19

361:19x 19

814:2x 11x 37

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 34035345696/(1x38)

LCM = 34035345696/38

LCM = 895666992

Thus, we can understand that the LCM of 381,304,361,814 is 895666992.

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

• LCM of 830, 530, 371, 968
• LCM of 829, 566, 315, 569
• LCM of 926, 122, 313, 566
• LCM of 899, 982, 163, 196
• LCM of 636, 574, 768, 863

1. What is the LCM of 381, 304, 361, 814?

Answer: LCM of 381, 304, 361, 814 is 895666992.

2. How to calculate the LCM of 381, 304, 361, 814?

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 381, 304, 361, 814.

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}.