Given numbers are 814,167,581,406

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

The LCM of 814,167,581,406 is 2290419362.

Find LCM of 814,167,581,406 with Prime Factorization

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

2 x 7 x 407 x 167 x 83 x 29 = 2290419362

Therefore, the lowest common multiple of 814,167,581,406 is 2290419362.

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.

814 x 167 x 581 x 406 = 32065871068

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

167 : 1, 167

581 : 1, 7, 83, 581

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,167,581,406, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

167:167

581:7x 83

406:2x 7x 29

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 32065871068/(1x14)

LCM = 32065871068/14

LCM = 2290419362

Thus, we can understand that the LCM of 814,167,581,406 is 2290419362.

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

• LCM of 256, 369, 730, 232
• LCM of 433, 229, 159, 721
• LCM of 337, 809, 365, 596
• LCM of 758, 415, 904, 381
• LCM of 916, 536, 659, 870

1. What is the LCM of 814, 167, 581, 406?

Answer: LCM of 814, 167, 581, 406 is 2290419362.

2. How to calculate the LCM of 814, 167, 581, 406?

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 814, 167, 581, 406.

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}.