Given numbers are 412,383,380,822

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

The LCM of 412,383,380,822 is 6161144820.

Find LCM of 412,383,380,822 with Prime Factorization

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

2 x 2 x 103 x 383 x 95 x 411 = 6161144820

Therefore, the lowest common multiple of 412,383,380,822 is 6161144820.

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.

412 x 383 x 380 x 822 = 49289158560

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.

412 : 1, 2, 4, 103, 206, 412

383 : 1, 383

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,383,380,822, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

383:383

380:2x 2x 5x 19

822:2x 3x 137

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 49289158560/(1x8)

LCM = 49289158560/8

LCM = 6161144820

Thus, we can understand that the LCM of 412,383,380,822 is 6161144820.

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

• LCM of 287, 985, 862, 583
• LCM of 339, 999, 952, 290
• LCM of 770, 420, 772, 146
• LCM of 493, 857, 922, 505
• LCM of 649, 719, 310, 862

1. What is the LCM of 412, 383, 380, 822?

Answer: LCM of 412, 383, 380, 822 is 6161144820.

2. How to calculate the LCM of 412, 383, 380, 822?

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 412, 383, 380, 822.

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}.