Given numbers are 383,586,425,304,338

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

The LCM of 383,586,425,304,338 is 2450279421200.

Find LCM of 383,586,425,304,338 with Prime Factorization

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

2 x 383 x 293 x 425 x 152 x 169 = 2450279421200

Therefore, the lowest common multiple of 383,586,425,304,338 is 2450279421200.

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.

383 x 586 x 425 x 304 x 338 = 9801117684800

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.

383 : 1, 383

586 : 1, 2, 293, 586

425 : 1, 5, 17, 25, 85, 425

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 383,586,425,304,338, is 1.

Now, the common factors can be found like this.

383:383

586:2x 293

425:5x 5x 17

304:2x 2x 2x 2x 19

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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9801117684800/(1x4)

LCM = 9801117684800/4

LCM = 2450279421200

Thus, we can understand that the LCM of 383,586,425,304,338 is 2450279421200.

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

• LCM of 392, 796, 442, 670, 850
• LCM of 329, 417, 582, 953, 162
• LCM of 745, 978, 549, 474, 119
• LCM of 195, 802, 102, 452, 831
• LCM of 910, 876, 697, 381, 918

1. What is the LCM of 383, 586, 425, 304, 338?

Answer: LCM of 383, 586, 425, 304, 338 is 2450279421200.

2. How to calculate the LCM of 383, 586, 425, 304, 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 383, 586, 425, 304, 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}.