Given numbers are 538,642,566,458,771

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

The LCM of 538,642,566,458,771 is 2876354096502.

Find LCM of 538,642,566,458,771 with Prime Factorization

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

2 x 3 x 269 x 107 x 283 x 229 x 257 = 2876354096502

Therefore, the lowest common multiple of 538,642,566,458,771 is 2876354096502.

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.

538 x 642 x 566 x 458 x 771 = 69032498316048

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.

538 : 1, 2, 269, 538

642 : 1, 2, 3, 6, 107, 214, 321, 642

566 : 1, 2, 283, 566

458 : 1, 2, 229, 458

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,642,566,458,771, is 1.

Now, the common factors can be found like this.

538:2x 269

642:2x 3x 107

566:2x 283

458:2x 229

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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 69032498316048/(1x24)

LCM = 69032498316048/24

LCM = 2876354096502

Thus, we can understand that the LCM of 538,642,566,458,771 is 2876354096502.

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

• LCM of 566, 367, 187, 253, 465
• LCM of 534, 875, 565, 807, 433
• LCM of 257, 249, 839, 161, 815
• LCM of 756, 509, 192, 979, 474
• LCM of 388, 409, 607, 872, 851

1. What is the LCM of 538, 642, 566, 458, 771?

Answer: LCM of 538, 642, 566, 458, 771 is 2876354096502.

2. How to calculate the LCM of 538, 642, 566, 458, 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 538, 642, 566, 458, 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}.