Given numbers are 408,585,728,464,935

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

The LCM of 408,585,728,464,935 is 355314960.

Find LCM of 408,585,728,464,935 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 13 x 17 x 1 x 3 x 7 x 58 x 11 = 355314960

Therefore, the lowest common multiple of 408,585,728,464,935 is 355314960.

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 585 x 728 x 464 x 935 = 75383621913600

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

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,585,728,464,935, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

585:3x 3x 5x 13

728:2x 2x 2x 7x 13

464:2x 2x 2x 2x 29

935:5x 11x 17

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 5x 13x 17 = 212160

Therefore, the value for common factors is 212160.

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 = 75383621913600/(1x212160)

LCM = 75383621913600/212160

LCM = 355314960

Thus, we can understand that the LCM of 408,585,728,464,935 is 355314960.

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

• LCM of 132, 294, 442, 208, 684
• LCM of 507, 734, 964, 139, 455
• LCM of 392, 571, 605, 861, 291
• LCM of 744, 607, 826, 741, 992
• LCM of 173, 641, 470, 397, 498

1. What is the LCM of 408, 585, 728, 464, 935?

Answer: LCM of 408, 585, 728, 464, 935 is 355314960.

2. How to calculate the LCM of 408, 585, 728, 464, 935?

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, 585, 728, 464, 935.

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}.