Given numbers are 432,351,405,723

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

The LCM of 432,351,405,723 is 20301840.

Find LCM of 432,351,405,723 with Prime Factorization

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

3 x 3 x 3 x 16 x 13 x 15 x 241 = 20301840

Therefore, the lowest common multiple of 432,351,405,723 is 20301840.

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 351 x 405 x 723 = 44400124080

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

723 : 1, 3, 241, 723

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,351,405,723, is 3.

Now, the common factors can be found like this.

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

351:3x 3x 3x 13

405:3x 3x 3x 3x 5

723:3x 241

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

3x 3x 3x 3x 3x 3 = 729

Therefore, the value for common factors is 729.

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 = 44400124080/(3x729)

LCM = 44400124080/2187

LCM = 20301840

Thus, we can understand that the LCM of 432,351,405,723 is 20301840.

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

• LCM of 755, 604, 362, 583
• LCM of 948, 888, 574, 440
• LCM of 352, 343, 977, 806
• LCM of 593, 198, 292, 652
• LCM of 527, 607, 829, 225

1. What is the LCM of 432, 351, 405, 723?

Answer: LCM of 432, 351, 405, 723 is 20301840.

2. How to calculate the LCM of 432, 351, 405, 723?

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, 351, 405, 723.

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}.