Given numbers are 258,284,382,366

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

The LCM of 258,284,382,366 is 426846036.

Find LCM of 258,284,382,366 with Prime Factorization

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

2 x 3 x 43 x 142 x 191 x 61 = 426846036

Therefore, the lowest common multiple of 258,284,382,366 is 426846036.

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 284 x 382 x 366 = 10244304864

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

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

382 : 1, 2, 191, 382

366 : 1, 2, 3, 6, 61, 122, 183, 366

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,284,382,366, is 2.

Now, the common factors can be found like this.

258:2x 3x 43

284:2x 2x 71

382:2x 191

366:2x 3x 61

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 = 10244304864/(2x12)

LCM = 10244304864/24

LCM = 426846036

Thus, we can understand that the LCM of 258,284,382,366 is 426846036.

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

• LCM of 248, 783, 328, 653
• LCM of 398, 741, 762, 886
• LCM of 808, 945, 333, 596
• LCM of 166, 772, 861, 670
• LCM of 991, 673, 657, 200

1. What is the LCM of 258, 284, 382, 366?

Answer: LCM of 258, 284, 382, 366 is 426846036.

2. How to calculate the LCM of 258, 284, 382, 366?

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, 284, 382, 366.

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}.