Given numbers are 258,312,466,586

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

The LCM of 258,312,466,586 is 915896904.

Find LCM of 258,312,466,586 with Prime Factorization

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

2 x 3 x 43 x 52 x 233 x 293 = 915896904

Therefore, the lowest common multiple of 258,312,466,586 is 915896904.

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 312 x 466 x 586 = 21981525696

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

466 : 1, 2, 233, 466

586 : 1, 2, 293, 586

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,312,466,586, is 2.

Now, the common factors can be found like this.

258:2x 3x 43

312:2x 2x 2x 3x 13

466:2x 233

586:2x 293

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 3 = 12

Therefore, the value for common factors is 12.

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 = 21981525696/(2x12)

LCM = 21981525696/24

LCM = 915896904

Thus, we can understand that the LCM of 258,312,466,586 is 915896904.

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

• LCM of 910, 971, 883, 966
• LCM of 234, 507, 938, 541
• LCM of 937, 544, 813, 373
• LCM of 798, 226, 392, 650
• LCM of 688, 883, 285, 984

1. What is the LCM of 258, 312, 466, 586?

Answer: LCM of 258, 312, 466, 586 is 915896904.

2. How to calculate the LCM of 258, 312, 466, 586?

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, 312, 466, 586.

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}.