Given numbers are 284,207,361,391

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

The LCM of 284,207,361,391 is 360781956.

Find LCM of 284,207,361,391 with Prime Factorization

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

23 x 284 x 9 x 361 x 17 = 360781956

Therefore, the lowest common multiple of 284,207,361,391 is 360781956.

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.

284 x 207 x 361 x 391 = 8297984988

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.

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

207 : 1, 3, 9, 23, 69, 207

361 : 1, 19, 361

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,207,361,391, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

207:3x 3x 23

361:19x 19

391:17x 23

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

23 = 23

Therefore, the value for common factors is 23.

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 = 8297984988/(1x23)

LCM = 8297984988/23

LCM = 360781956

Thus, we can understand that the LCM of 284,207,361,391 is 360781956.

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

• LCM of 192, 642, 915, 706
• LCM of 745, 493, 640, 242
• LCM of 768, 999, 357, 341
• LCM of 449, 284, 174, 630
• LCM of 236, 259, 510, 157

1. What is the LCM of 284, 207, 361, 391?

Answer: LCM of 284, 207, 361, 391 is 360781956.

2. How to calculate the LCM of 284, 207, 361, 391?

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 284, 207, 361, 391.

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}.