Given numbers are 323,214,493

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

The LCM of 323,214,493 is 2004538.

Find LCM of 323,214,493 with Prime Factorization

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

17 x 19 x 214 x 29 = 2004538

Therefore, the lowest common multiple of 323,214,493 is 2004538.

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.

323 x 214 x 493 = 34077146

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.

323 : 1, 17, 19, 323

214 : 1, 2, 107, 214

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,214,493, is 1.

Now, the common factors can be found like this.

323:17x 19

214:2x 107

493:17x 29

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

17 = 17

Therefore, the value for common factors is 17.

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 = 34077146/(1x17)

LCM = 34077146/17

LCM = 2004538

Thus, we can understand that the LCM of 323,214,493 is 2004538.

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

• LCM of 278, 553, 663
• LCM of 321, 500, 214
• LCM of 842, 470, 452
• LCM of 843, 829, 390
• LCM of 709, 485, 984

1. What is the LCM of 323, 214, 493?

Answer: LCM of 323, 214, 493 is 2004538.

2. How to calculate the LCM of 323, 214, 493?

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 323, 214, 493.

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}.