Given numbers are 381,819,214,769

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

The LCM of 381,819,214,769 is 17117003358.

Find LCM of 381,819,214,769 with Prime Factorization

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

3 x 127 x 273 x 214 x 769 = 17117003358

Therefore, the lowest common multiple of 381,819,214,769 is 17117003358.

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 819 x 214 x 769 = 51351010074

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

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

214 : 1, 2, 107, 214

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,819,214,769, is 1.

Now, the common factors can be found like this.

381:3x 127

819:3x 3x 7x 13

214:2x 107

769:769

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

3 = 3

Therefore, the value for common factors is 3.

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 = 51351010074/(1x3)

LCM = 51351010074/3

LCM = 17117003358

Thus, we can understand that the LCM of 381,819,214,769 is 17117003358.

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

• LCM of 785, 414, 415, 339
• LCM of 146, 833, 685, 218
• LCM of 234, 610, 835, 752
• LCM of 550, 440, 762, 783
• LCM of 223, 840, 245, 362

1. What is the LCM of 381, 819, 214, 769?

Answer: LCM of 381, 819, 214, 769 is 17117003358.

2. How to calculate the LCM of 381, 819, 214, 769?

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, 819, 214, 769.

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}.