Given numbers are 258,478,424,135,538

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

The LCM of 258,478,424,135,538 is 158240724120.

Find LCM of 258,478,424,135,538 with Prime Factorization

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

2 x 3 x 43 x 239 x 212 x 45 x 269 = 158240724120

Therefore, the lowest common multiple of 258,478,424,135,538 is 158240724120.

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.

258 x 478 x 424 x 135 x 538 = 3797777378880

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

478 : 1, 2, 239, 478

424 : 1, 2, 4, 8, 53, 106, 212, 424

135 : 1, 3, 5, 9, 15, 27, 45, 135

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,478,424,135,538, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

478:2x 239

424:2x 2x 2x 53

135:3x 3x 3x 5

538:2x 269

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 = 3797777378880/(1x24)

LCM = 3797777378880/24

LCM = 158240724120

Thus, we can understand that the LCM of 258,478,424,135,538 is 158240724120.

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

• LCM of 594, 803, 949, 514, 749
• LCM of 611, 635, 136, 553, 715
• LCM of 665, 705, 624, 353, 228
• LCM of 603, 897, 376, 859, 464
• LCM of 796, 745, 514, 764, 746

1. What is the LCM of 258, 478, 424, 135, 538?

Answer: LCM of 258, 478, 424, 135, 538 is 158240724120.

2. How to calculate the LCM of 258, 478, 424, 135, 538?

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 258, 478, 424, 135, 538.

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}.