Given numbers are 432,803,484,460

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

The LCM of 432,803,484,460 is 438823440.

Find LCM of 432,803,484,460 with Prime Factorization

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

2 x 2 x 11 x 108 x 73 x 11 x 115 = 438823440

Therefore, the lowest common multiple of 432,803,484,460 is 438823440.

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 803 x 484 x 460 = 77232925440

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

803 : 1, 11, 73, 803

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,803,484,460, is 1.

Now, the common factors can be found like this.

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

803:11x 73

484:2x 2x 11x 11

460:2x 2x 5x 23

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 2x 2x 11 = 176

Therefore, the value for common factors is 176.

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 = 77232925440/(1x176)

LCM = 77232925440/176

LCM = 438823440

Thus, we can understand that the LCM of 432,803,484,460 is 438823440.

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

• LCM of 519, 936, 612, 948
• LCM of 678, 686, 922, 923
• LCM of 203, 322, 416, 747
• LCM of 990, 892, 659, 179
• LCM of 242, 144, 768, 401

1. What is the LCM of 432, 803, 484, 460?

Answer: LCM of 432, 803, 484, 460 is 438823440.

2. How to calculate the LCM of 432, 803, 484, 460?

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, 803, 484, 460.

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}.