Given numbers are 328,239,412,810

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

The LCM of 328,239,412,810 is 3270122280.

Find LCM of 328,239,412,810 with Prime Factorization

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

2 x 2 x 82 x 239 x 103 x 405 = 3270122280

Therefore, the lowest common multiple of 328,239,412,810 is 3270122280.

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.

328 x 239 x 412 x 810 = 26160978240

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

239 : 1, 239

412 : 1, 2, 4, 103, 206, 412

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,239,412,810, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

239:239

412:2x 2x 103

810:2x 3x 3x 3x 3x 5

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 2 = 8

Therefore, the value for common factors is 8.

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 = 26160978240/(1x8)

LCM = 26160978240/8

LCM = 3270122280

Thus, we can understand that the LCM of 328,239,412,810 is 3270122280.

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

• LCM of 577, 758, 948, 612
• LCM of 253, 730, 574, 814
• LCM of 165, 837, 586, 947
• LCM of 251, 457, 801, 610
• LCM of 466, 836, 865, 445

1. What is the LCM of 328, 239, 412, 810?

Answer: LCM of 328, 239, 412, 810 is 3270122280.

2. How to calculate the LCM of 328, 239, 412, 810?

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 328, 239, 412, 810.

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}.