Given numbers are 454,580,232,864

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

The LCM of 454,580,232,864 is 28438560.

Find LCM of 454,580,232,864 with Prime Factorization

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

2 x 2 x 2 x 29 x 227 x 5 x 1 x 108 = 28438560

Therefore, the lowest common multiple of 454,580,232,864 is 28438560.

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.

454 x 580 x 232 x 864 = 52781967360

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.

454 : 1, 2, 227, 454

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

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

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,580,232,864, is 2.

Now, the common factors can be found like this.

454:2x 227

580:2x 2x 5x 29

232:2x 2x 2x 29

864:2x 2x 2x 2x 2x 3x 3x 3

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 29 = 928

Therefore, the value for common factors is 928.

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 = 52781967360/(2x928)

LCM = 52781967360/1856

LCM = 28438560

Thus, we can understand that the LCM of 454,580,232,864 is 28438560.

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

• LCM of 391, 191, 428, 861
• LCM of 968, 347, 148, 289
• LCM of 544, 838, 232, 788
• LCM of 372, 765, 592, 756
• LCM of 678, 839, 942, 938

1. What is the LCM of 454, 580, 232, 864?

Answer: LCM of 454, 580, 232, 864 is 28438560.

2. How to calculate the LCM of 454, 580, 232, 864?

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 454, 580, 232, 864.

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}.