Given numbers are 299,585,321,338

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

The LCM of 299,585,321,338 is 37431810.

Find LCM of 299,585,321,338 with Prime Factorization

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

3 x 13 x 23 x 15 x 107 x 26 = 37431810

Therefore, the lowest common multiple of 299,585,321,338 is 37431810.

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.

299 x 585 x 321 x 338 = 18977927670

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.

299 : 1, 13, 23, 299

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

321 : 1, 3, 107, 321

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,585,321,338, is 1.

Now, the common factors can be found like this.

299:13x 23

585:3x 3x 5x 13

321:3x 107

338:2x 13x 13

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

3x 13x 13 = 507

Therefore, the value for common factors is 507.

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 = 18977927670/(1x507)

LCM = 18977927670/507

LCM = 37431810

Thus, we can understand that the LCM of 299,585,321,338 is 37431810.

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

• LCM of 729, 526, 579, 233
• LCM of 870, 848, 520, 263
• LCM of 590, 896, 809, 520
• LCM of 514, 501, 333, 254
• LCM of 759, 230, 141, 455

1. What is the LCM of 299, 585, 321, 338?

Answer: LCM of 299, 585, 321, 338 is 37431810.

2. How to calculate the LCM of 299, 585, 321, 338?

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 299, 585, 321, 338.

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}.