Given numbers are 258,478,474,466,281

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

The LCM of 258,478,474,466,281 is 318938493954.

Find LCM of 258,478,474,466,281 with Prime Factorization

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

2 x 3 x 43 x 239 x 79 x 233 x 281 = 318938493954

Therefore, the lowest common multiple of 258,478,474,466,281 is 318938493954.

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 474 x 466 x 281 = 7654523854896

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

474 : 1, 2, 3, 6, 79, 158, 237, 474

466 : 1, 2, 233, 466

281 : 1, 281

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,478,474,466,281, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

478:2x 239

474:2x 3x 79

466:2x 233

281:281

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 = 7654523854896/(1x24)

LCM = 7654523854896/24

LCM = 318938493954

Thus, we can understand that the LCM of 258,478,474,466,281 is 318938493954.

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

• LCM of 774, 300, 662, 380, 550
• LCM of 934, 725, 910, 454, 956
• LCM of 724, 572, 181, 240, 795
• LCM of 807, 391, 239, 635, 525
• LCM of 572, 867, 201, 132, 979

1. What is the LCM of 258, 478, 474, 466, 281?

Answer: LCM of 258, 478, 474, 466, 281 is 318938493954.

2. How to calculate the LCM of 258, 478, 474, 466, 281?

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, 474, 466, 281.

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}.