Given numbers are 514,730,407,568

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

The LCM of 514,730,407,568 is 21685464680.

Find LCM of 514,730,407,568 with Prime Factorization

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

2 x 257 x 365 x 407 x 284 = 21685464680

Therefore, the lowest common multiple of 514,730,407,568 is 21685464680.

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.

514 x 730 x 407 x 568 = 86741858720

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.

514 : 1, 2, 257, 514

730 : 1, 2, 5, 10, 73, 146, 365, 730

407 : 1, 11, 37, 407

568 : 1, 2, 4, 8, 71, 142, 284, 568

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,730,407,568, is 1.

Now, the common factors can be found like this.

514:2x 257

730:2x 5x 73

407:11x 37

568:2x 2x 2x 71

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 = 86741858720/(1x4)

LCM = 86741858720/4

LCM = 21685464680

Thus, we can understand that the LCM of 514,730,407,568 is 21685464680.

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

• LCM of 827, 358, 532, 553
• LCM of 694, 177, 833, 954
• LCM of 451, 826, 314, 332
• LCM of 860, 408, 679, 653
• LCM of 420, 219, 101, 266

1. What is the LCM of 514, 730, 407, 568?

Answer: LCM of 514, 730, 407, 568 is 21685464680.

2. How to calculate the LCM of 514, 730, 407, 568?

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 514, 730, 407, 568.

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}.