Given numbers are 432,173,471,580,466

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

The LCM of 432,173,471,580,466 is 396418054320.

Find LCM of 432,173,471,580,466 with Prime Factorization

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

2 x 2 x 3 x 36 x 173 x 157 x 145 x 233 = 396418054320

Therefore, the lowest common multiple of 432,173,471,580,466 is 396418054320.

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 173 x 471 x 580 x 466 = 9514033303680

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

173 : 1, 173

471 : 1, 3, 157, 471

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

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,173,471,580,466, is 1.

Now, the common factors can be found like this.

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

173:173

471:3x 157

580:2x 2x 5x 29

466:2x 233

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 3 = 24

Therefore, the value for common factors is 24.

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 = 9514033303680/(1x24)

LCM = 9514033303680/24

LCM = 396418054320

Thus, we can understand that the LCM of 432,173,471,580,466 is 396418054320.

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

• LCM of 457, 434, 899, 660, 296
• LCM of 541, 591, 642, 834, 228
• LCM of 595, 449, 922, 761, 631
• LCM of 850, 521, 172, 478, 423
• LCM of 709, 729, 834, 260, 180

1. What is the LCM of 432, 173, 471, 580, 466?

Answer: LCM of 432, 173, 471, 580, 466 is 396418054320.

2. How to calculate the LCM of 432, 173, 471, 580, 466?

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, 173, 471, 580, 466.

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}.