Given numbers are 321,259,585,214

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

The LCM of 321,259,585,214 is 32424210.

Find LCM of 321,259,585,214 with Prime Factorization

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

3 x 107 x 1 x 259 x 195 x 2 = 32424210

Therefore, the lowest common multiple of 321,259,585,214 is 32424210.

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.

321 x 259 x 585 x 214 = 10408171410

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.

321 : 1, 3, 107, 321

259 : 1, 7, 37, 259

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,259,585,214, is 1.

Now, the common factors can be found like this.

321:3x 107

259:7x 37

585:3x 3x 5x 13

214:2x 107

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

3x 107 = 321

Therefore, the value for common factors is 321.

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 = 10408171410/(1x321)

LCM = 10408171410/321

LCM = 32424210

Thus, we can understand that the LCM of 321,259,585,214 is 32424210.

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

• LCM of 671, 658, 621, 931
• LCM of 221, 870, 869, 392
• LCM of 388, 991, 907, 544
• LCM of 372, 247, 782, 395
• LCM of 777, 459, 460, 331

1. What is the LCM of 321, 259, 585, 214?

Answer: LCM of 321, 259, 585, 214 is 32424210.

2. How to calculate the LCM of 321, 259, 585, 214?

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 321, 259, 585, 214.

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}.