Given numbers are 538,442,284,257

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

The LCM of 538,442,284,257 is 4339063612.

Find LCM of 538,442,284,257 with Prime Factorization

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

2 x 269 x 221 x 142 x 257 = 4339063612

Therefore, the lowest common multiple of 538,442,284,257 is 4339063612.

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 442 x 284 x 257 = 17356254448

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

284 : 1, 2, 4, 71, 142, 284

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,442,284,257, is 1.

Now, the common factors can be found like this.

538:2x 269

442:2x 13x 17

284:2x 2x 71

257:257

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 17356254448/(1x4)

LCM = 17356254448/4

LCM = 4339063612

Thus, we can understand that the LCM of 538,442,284,257 is 4339063612.

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

• LCM of 190, 675, 150, 699
• LCM of 420, 736, 389, 238
• LCM of 255, 720, 764, 248
• LCM of 694, 622, 700, 424
• LCM of 692, 904, 667, 523

1. What is the LCM of 538, 442, 284, 257?

Answer: LCM of 538, 442, 284, 257 is 4339063612.

2. How to calculate the LCM of 538, 442, 284, 257?

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, 442, 284, 257.

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}.