Given numbers are 810,984,382,361

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

The LCM of 810,984,382,361 is 9159450840.

Find LCM of 810,984,382,361 with Prime Factorization

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

2 x 3 x 135 x 164 x 191 x 361 = 9159450840

Therefore, the lowest common multiple of 810,984,382,361 is 9159450840.

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.

810 x 984 x 382 x 361 = 109913410080

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.

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

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

382 : 1, 2, 191, 382

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,984,382,361, is 1.

Now, the common factors can be found like this.

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

984:2x 2x 2x 3x 41

382:2x 191

361:19x 19

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 = 109913410080/(1x12)

LCM = 109913410080/12

LCM = 9159450840

Thus, we can understand that the LCM of 810,984,382,361 is 9159450840.

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

• LCM of 489, 560, 430, 387
• LCM of 184, 637, 648, 221
• LCM of 635, 106, 303, 149
• LCM of 582, 540, 751, 585
• LCM of 798, 903, 734, 662

1. What is the LCM of 810, 984, 382, 361?

Answer: LCM of 810, 984, 382, 361 is 9159450840.

2. How to calculate the LCM of 810, 984, 382, 361?

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 810, 984, 382, 361.

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}.