Given numbers are 218,715,312,375,581

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

The LCM of 218,715,312,375,581 is 27168141000.

Find LCM of 218,715,312,375,581 with Prime Factorization

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

2 x 3 x 5 x 13 x 109 x 11 x 4 x 25 x 581 = 27168141000

Therefore, the lowest common multiple of 218,715,312,375,581 is 27168141000.

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.

218 x 715 x 312 x 375 x 581 = 10595574990000

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.

218 : 1, 2, 109, 218

715 : 1, 5, 11, 13, 55, 65, 143, 715

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

375 : 1, 3, 5, 15, 25, 75, 125, 375

581 : 1, 7, 83, 581

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,715,312,375,581, is 1.

Now, the common factors can be found like this.

218:2x 109

715:5x 11x 13

312:2x 2x 2x 3x 13

375:3x 5x 5x 5

581:7x 83

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

2x 3x 5x 13 = 390

Therefore, the value for common factors is 390.

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 = 10595574990000/(1x390)

LCM = 10595574990000/390

LCM = 27168141000

Thus, we can understand that the LCM of 218,715,312,375,581 is 27168141000.

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

• LCM of 753, 576, 499, 733, 527
• LCM of 169, 188, 807, 850, 265
• LCM of 238, 402, 136, 188, 325
• LCM of 412, 354, 215, 302, 154
• LCM of 442, 627, 381, 597, 539

1. What is the LCM of 218, 715, 312, 375, 581?

Answer: LCM of 218, 715, 312, 375, 581 is 27168141000.

2. How to calculate the LCM of 218, 715, 312, 375, 581?

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 218, 715, 312, 375, 581.

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}.