Given numbers are 914,408,800,473,671

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

The LCM of 914,408,800,473,671 is 537981496800.

Find LCM of 914,408,800,473,671 with Prime Factorization

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

2 x 2 x 2 x 11 x 457 x 51 x 100 x 43 x 61 = 537981496800

Therefore, the lowest common multiple of 914,408,800,473,671 is 537981496800.

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.

914 x 408 x 800 x 473 x 671 = 94684743436800

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.

914 : 1, 2, 457, 914

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

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

473 : 1, 11, 43, 473

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,408,800,473,671, is 1.

Now, the common factors can be found like this.

914:2x 457

408:2x 2x 2x 3x 17

800:2x 2x 2x 2x 2x 5x 5

473:11x 43

671:11x 61

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 11 = 176

Therefore, the value for common factors is 176.

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 = 94684743436800/(1x176)

LCM = 94684743436800/176

LCM = 537981496800

Thus, we can understand that the LCM of 914,408,800,473,671 is 537981496800.

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

• LCM of 703, 934, 787, 200, 740
• LCM of 644, 680, 633, 400, 716
• LCM of 305, 160, 831, 317, 282
• LCM of 572, 267, 756, 183, 858
• LCM of 896, 625, 866, 348, 867

1. What is the LCM of 914, 408, 800, 473, 671?

Answer: LCM of 914, 408, 800, 473, 671 is 537981496800.

2. How to calculate the LCM of 914, 408, 800, 473, 671?

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 914, 408, 800, 473, 671.

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}.