Given numbers are 432,639,580,819

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

The LCM of 432,639,580,819 is 404717040.

Find LCM of 432,639,580,819 with Prime Factorization

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

2 x 2 x 3 x 3 x 12 x 71 x 145 x 91 = 404717040

Therefore, the lowest common multiple of 432,639,580,819 is 404717040.

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.

432 x 639 x 580 x 819 = 131128320960

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

639 : 1, 3, 9, 71, 213, 639

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,639,580,819, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

639:3x 3x 71

580:2x 2x 5x 29

819:3x 3x 7x 13

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 131128320960/(1x324)

LCM = 131128320960/324

LCM = 404717040

Thus, we can understand that the LCM of 432,639,580,819 is 404717040.

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

• LCM of 329, 177, 825, 642
• LCM of 986, 216, 448, 195
• LCM of 283, 806, 620, 295
• LCM of 438, 200, 161, 687
• LCM of 775, 490, 621, 215

1. What is the LCM of 432, 639, 580, 819?

Answer: LCM of 432, 639, 580, 819 is 404717040.

2. How to calculate the LCM of 432, 639, 580, 819?

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 432, 639, 580, 819.

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}.