Given numbers are 580,631,506,614

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

The LCM of 580,631,506,614 is 28426032580.

Find LCM of 580,631,506,614 with Prime Factorization

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

2 x 290 x 631 x 253 x 307 = 28426032580

Therefore, the lowest common multiple of 580,631,506,614 is 28426032580.

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 631 x 506 x 614 = 113704130320

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

631 : 1, 631

506 : 1, 2, 11, 22, 23, 46, 253, 506

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,631,506,614, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

631:631

506:2x 11x 23

614:2x 307

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 113704130320/(1x4)

LCM = 113704130320/4

LCM = 28426032580

Thus, we can understand that the LCM of 580,631,506,614 is 28426032580.

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

• LCM of 610, 215, 243, 650
• LCM of 773, 917, 426, 406
• LCM of 176, 213, 118, 807
• LCM of 590, 390, 508, 321
• LCM of 693, 688, 600, 880

1. What is the LCM of 580, 631, 506, 614?

Answer: LCM of 580, 631, 506, 614 is 28426032580.

2. How to calculate the LCM of 580, 631, 506, 614?

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, 631, 506, 614.

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}.