Given numbers are 493,814,494,961

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

The LCM of 493,814,494,961 is 95255851834.

Find LCM of 493,814,494,961 with Prime Factorization

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

2 x 493 x 407 x 247 x 961 = 95255851834

Therefore, the lowest common multiple of 493,814,494,961 is 95255851834.

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.

493 x 814 x 494 x 961 = 190511703668

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.

493 : 1, 17, 29, 493

814 : 1, 2, 11, 22, 37, 74, 407, 814

494 : 1, 2, 13, 19, 26, 38, 247, 494

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,814,494,961, is 1.

Now, the common factors can be found like this.

493:17x 29

814:2x 11x 37

494:2x 13x 19

961:31x 31

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

2 = 2

Therefore, the value for common factors is 2.

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 = 190511703668/(1x2)

LCM = 190511703668/2

LCM = 95255851834

Thus, we can understand that the LCM of 493,814,494,961 is 95255851834.

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

• LCM of 352, 365, 279, 462
• LCM of 701, 627, 913, 287
• LCM of 152, 507, 254, 522
• LCM of 578, 723, 836, 462
• LCM of 487, 461, 474, 947

1. What is the LCM of 493, 814, 494, 961?

Answer: LCM of 493, 814, 494, 961 is 95255851834.

2. How to calculate the LCM of 493, 814, 494, 961?

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 493, 814, 494, 961.

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}.