Given numbers are 493,188,317,377

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

The LCM of 493,188,317,377 is 381950764.

Find LCM of 493,188,317,377 with Prime Factorization

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

29 x 17 x 188 x 317 x 13 = 381950764

Therefore, the lowest common multiple of 493,188,317,377 is 381950764.

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 188 x 317 x 377 = 11076572156

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

188 : 1, 2, 4, 47, 94, 188

317 : 1, 317

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,188,317,377, is 1.

Now, the common factors can be found like this.

493:17x 29

188:2x 2x 47

317:317

377:13x 29

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

29 = 29

Therefore, the value for common factors is 29.

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 = 11076572156/(1x29)

LCM = 11076572156/29

LCM = 381950764

Thus, we can understand that the LCM of 493,188,317,377 is 381950764.

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

• LCM of 678, 650, 816, 400
• LCM of 845, 212, 351, 218
• LCM of 277, 490, 151, 968
• LCM of 763, 501, 564, 701
• LCM of 600, 234, 348, 772

1. What is the LCM of 493, 188, 317, 377?

Answer: LCM of 493, 188, 317, 377 is 381950764.

2. How to calculate the LCM of 493, 188, 317, 377?

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, 188, 317, 377.

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}.