Given numbers are 580,313,167,928,960

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

The LCM of 580,313,167,928,960 is 1455224640.

Find LCM of 580,313,167,928,960 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 29 x 1 x 313 x 167 x 1 x 6 = 1455224640

Therefore, the lowest common multiple of 580,313,167,928,960 is 1455224640.

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.

580 x 313 x 167 x 928 x 960 = 27008969318400

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.

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

313 : 1, 313

167 : 1, 167

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,313,167,928,960, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

313:313

167:167

928:2x 2x 2x 2x 2x 29

960:2x 2x 2x 2x 2x 2x 3x 5

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 2x 5x 29 = 18560

Therefore, the value for common factors is 18560.

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 = 27008969318400/(1x18560)

LCM = 27008969318400/18560

LCM = 1455224640

Thus, we can understand that the LCM of 580,313,167,928,960 is 1455224640.

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

• LCM of 509, 810, 540, 176, 837
• LCM of 970, 730, 904, 709, 214
• LCM of 819, 159, 431, 690, 430
• LCM of 323, 160, 142, 474, 649
• LCM of 180, 889, 739, 877, 920

1. What is the LCM of 580, 313, 167, 928, 960?

Answer: LCM of 580, 313, 167, 928, 960 is 1455224640.

2. How to calculate the LCM of 580, 313, 167, 928, 960?

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 580, 313, 167, 928, 960.

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}.