Given numbers are 317,382,490,436

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

The LCM of 317,382,490,436 is 6467630540.

Find LCM of 317,382,490,436 with Prime Factorization

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

2 x 317 x 191 x 245 x 218 = 6467630540

Therefore, the lowest common multiple of 317,382,490,436 is 6467630540.

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.

317 x 382 x 490 x 436 = 25870522160

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.

317 : 1, 317

382 : 1, 2, 191, 382

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

436 : 1, 2, 4, 109, 218, 436

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,382,490,436, is 1.

Now, the common factors can be found like this.

317:317

382:2x 191

490:2x 5x 7x 7

436:2x 2x 109

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 = 25870522160/(1x4)

LCM = 25870522160/4

LCM = 6467630540

Thus, we can understand that the LCM of 317,382,490,436 is 6467630540.

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

• LCM of 126, 395, 905, 645
• LCM of 428, 521, 830, 551
• LCM of 106, 960, 518, 457
• LCM of 718, 923, 172, 596
• LCM of 543, 478, 874, 860

1. What is the LCM of 317, 382, 490, 436?

Answer: LCM of 317, 382, 490, 436 is 6467630540.

2. How to calculate the LCM of 317, 382, 490, 436?

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 317, 382, 490, 436.

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}.