Given numbers are 321,395,214,259

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

The LCM of 321,395,214,259 is 65679810.

Find LCM of 321,395,214,259 with Prime Factorization

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

107 x 3 x 395 x 2 x 259 = 65679810

Therefore, the lowest common multiple of 321,395,214,259 is 65679810.

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 395 x 214 x 259 = 7027739670

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

395 : 1, 5, 79, 395

214 : 1, 2, 107, 214

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,395,214,259, is 1.

Now, the common factors can be found like this.

321:3x 107

395:5x 79

214:2x 107

259:7x 37

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

107 = 107

Therefore, the value for common factors is 107.

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 = 7027739670/(1x107)

LCM = 7027739670/107

LCM = 65679810

Thus, we can understand that the LCM of 321,395,214,259 is 65679810.

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

• LCM of 285, 340, 195, 991
• LCM of 737, 477, 756, 556
• LCM of 310, 441, 283, 142
• LCM of 218, 870, 686, 146
• LCM of 292, 292, 222, 195

1. What is the LCM of 321, 395, 214, 259?

Answer: LCM of 321, 395, 214, 259 is 65679810.

2. How to calculate the LCM of 321, 395, 214, 259?

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, 395, 214, 259.

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}.