Given numbers are 382,20,809

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

The LCM of 382,20,809 is 3090380.

Find LCM of 382,20,809 with Prime Factorization

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

2 x 191 x 10 x 809 = 3090380

Therefore, the lowest common multiple of 382,20,809 is 3090380.

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.

382 x 20 x 809 = 6180760

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.

382 : 1, 2, 191, 382

20 : 1, 2, 4, 5, 10, 20

809 : 1, 809

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,20,809, is 1.

Now, the common factors can be found like this.

382:2x 191

20:2x 2x 5

809:809

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

2 = 2

Therefore, the value for common factors is 2.

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 = 6180760/(1x2)

LCM = 6180760/2

LCM = 3090380

Thus, we can understand that the LCM of 382,20,809 is 3090380.

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

• LCM of 115, 18, 748
• LCM of 228, 22, 351
• LCM of 185, 27, 726
• LCM of 993, 16, 292
• LCM of 327, 64, 332

1. What is the LCM of 382, 20, 809?

Answer: LCM of 382, 20, 809 is 3090380.

2. How to calculate the LCM of 382, 20, 809?

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 382, 20, 809.

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}.