Given numbers are 271,591,572,894,420

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

The LCM of 271,591,572,894,420 is 477757059780.

Find LCM of 271,591,572,894,420 with Prime Factorization

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

2 x 2 x 3 x 271 x 197 x 143 x 149 x 35 = 477757059780

Therefore, the lowest common multiple of 271,591,572,894,420 is 477757059780.

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.

271 x 591 x 572 x 894 x 420 = 34398508304160

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.

271 : 1, 271

591 : 1, 3, 197, 591

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

894 : 1, 2, 3, 6, 149, 298, 447, 894

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,591,572,894,420, is 1.

Now, the common factors can be found like this.

271:271

591:3x 197

572:2x 2x 11x 13

894:2x 3x 149

420:2x 2x 3x 5x 7

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

2x 2x 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 34398508304160/(1x72)

LCM = 34398508304160/72

LCM = 477757059780

Thus, we can understand that the LCM of 271,591,572,894,420 is 477757059780.

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

• LCM of 556, 334, 246, 501, 961
• LCM of 114, 274, 576, 584, 320
• LCM of 516, 798, 648, 466, 577
• LCM of 809, 652, 552, 908, 173
• LCM of 491, 704, 316, 156, 779

1. What is the LCM of 271, 591, 572, 894, 420?

Answer: LCM of 271, 591, 572, 894, 420 is 477757059780.

2. How to calculate the LCM of 271, 591, 572, 894, 420?

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 271, 591, 572, 894, 420.

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}.