Given numbers are 271,408,720,214,836

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

The LCM of 271,408,720,214,836 is 74178965520.

Find LCM of 271,408,720,214,836 with Prime Factorization

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

2 x 2 x 2 x 3 x 271 x 17 x 30 x 107 x 209 = 74178965520

Therefore, the lowest common multiple of 271,408,720,214,836 is 74178965520.

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 408 x 720 x 214 x 836 = 14242361379840

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

214 : 1, 2, 107, 214

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,408,720,214,836, is 1.

Now, the common factors can be found like this.

271:271

408:2x 2x 2x 3x 17

720:2x 2x 2x 2x 3x 3x 5

214:2x 107

836:2x 2x 11x 19

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 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 14242361379840/(1x192)

LCM = 14242361379840/192

LCM = 74178965520

Thus, we can understand that the LCM of 271,408,720,214,836 is 74178965520.

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

• LCM of 768, 155, 216, 788, 629
• LCM of 253, 708, 521, 239, 490
• LCM of 162, 763, 659, 312, 303
• LCM of 822, 955, 573, 294, 178
• LCM of 685, 206, 562, 157, 523

1. What is the LCM of 271, 408, 720, 214, 836?

Answer: LCM of 271, 408, 720, 214, 836 is 74178965520.

2. How to calculate the LCM of 271, 408, 720, 214, 836?

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, 408, 720, 214, 836.

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}.