Given numbers are 814,592,517,771

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

The LCM of 814,592,517,771 is 235975344.

Find LCM of 814,592,517,771 with Prime Factorization

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

2 x 11 x 37 x 1 x 8 x 47 x 771 = 235975344

Therefore, the lowest common multiple of 814,592,517,771 is 235975344.

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.

814 x 592 x 517 x 771 = 192083930016

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

517 : 1, 11, 47, 517

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,592,517,771, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

592:2x 2x 2x 2x 37

517:11x 47

771:3x 257

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

2x 11x 37 = 814

Therefore, the value for common factors is 814.

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 = 192083930016/(1x814)

LCM = 192083930016/814

LCM = 235975344

Thus, we can understand that the LCM of 814,592,517,771 is 235975344.

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

• LCM of 673, 551, 371, 159
• LCM of 969, 611, 365, 208
• LCM of 522, 548, 886, 916
• LCM of 143, 765, 965, 392
• LCM of 287, 576, 590, 562

1. What is the LCM of 814, 592, 517, 771?

Answer: LCM of 814, 592, 517, 771 is 235975344.

2. How to calculate the LCM of 814, 592, 517, 771?

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 814, 592, 517, 771.

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}.