Given numbers are 408,476,432,305,582

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

The LCM of 408,476,432,305,582 is 1520905680.

Find LCM of 408,476,432,305,582 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 1 x 7 x 18 x 305 x 97 = 1520905680

Therefore, the lowest common multiple of 408,476,432,305,582 is 1520905680.

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.

408 x 476 x 432 x 305 x 582 = 14892708418560

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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

305 : 1, 5, 61, 305

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,476,432,305,582, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

476:2x 2x 7x 17

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

305:5x 61

582:2x 3x 97

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 2x 2x 3x 3x 17 = 9792

Therefore, the value for common factors is 9792.

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 = 14892708418560/(1x9792)

LCM = 14892708418560/9792

LCM = 1520905680

Thus, we can understand that the LCM of 408,476,432,305,582 is 1520905680.

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

• LCM of 580, 972, 310, 775, 628
• LCM of 247, 377, 492, 689, 827
• LCM of 321, 105, 146, 483, 391
• LCM of 729, 652, 449, 927, 618
• LCM of 597, 215, 510, 221, 320

1. What is the LCM of 408, 476, 432, 305, 582?

Answer: LCM of 408, 476, 432, 305, 582 is 1520905680.

2. How to calculate the LCM of 408, 476, 432, 305, 582?

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 408, 476, 432, 305, 582.

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}.