Given numbers are 506,517,493,581,395

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

The LCM of 506,517,493,581,395 is 2690720094370.

Find LCM of 506,517,493,581,395 with Prime Factorization

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

11 x 46 x 47 x 493 x 581 x 395 = 2690720094370

Therefore, the lowest common multiple of 506,517,493,581,395 is 2690720094370.

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.

506 x 517 x 493 x 581 x 395 = 29597921038070

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.

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

517 : 1, 11, 47, 517

493 : 1, 17, 29, 493

581 : 1, 7, 83, 581

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,517,493,581,395, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

517:11x 47

493:17x 29

581:7x 83

395:5x 79

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

11 = 11

Therefore, the value for common factors is 11.

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 = 29597921038070/(1x11)

LCM = 29597921038070/11

LCM = 2690720094370

Thus, we can understand that the LCM of 506,517,493,581,395 is 2690720094370.

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

• LCM of 400, 739, 298, 502, 896
• LCM of 634, 617, 988, 703, 560
• LCM of 850, 465, 996, 265, 825
• LCM of 198, 462, 323, 291, 868
• LCM of 105, 845, 809, 825, 124

1. What is the LCM of 506, 517, 493, 581, 395?

Answer: LCM of 506, 517, 493, 581, 395 is 2690720094370.

2. How to calculate the LCM of 506, 517, 493, 581, 395?

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 506, 517, 493, 581, 395.

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}.