Given numbers are 814,413,407,457

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

The LCM of 814,413,407,457 is 153635174.

Find LCM of 814,413,407,457 with Prime Factorization

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

11 x 37 x 2 x 413 x 1 x 457 = 153635174

Therefore, the lowest common multiple of 814,413,407,457 is 153635174.

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 413 x 407 x 457 = 62529515818

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

413 : 1, 7, 59, 413

407 : 1, 11, 37, 407

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,413,407,457, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

413:7x 59

407:11x 37

457:457

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

11x 37 = 407

Therefore, the value for common factors is 407.

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 = 62529515818/(1x407)

LCM = 62529515818/407

LCM = 153635174

Thus, we can understand that the LCM of 814,413,407,457 is 153635174.

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

• LCM of 825, 228, 438, 449
• LCM of 923, 790, 983, 749
• LCM of 833, 544, 527, 622
• LCM of 342, 655, 336, 803
• LCM of 527, 958, 486, 592

1. What is the LCM of 814, 413, 407, 457?

Answer: LCM of 814, 413, 407, 457 is 153635174.

2. How to calculate the LCM of 814, 413, 407, 457?

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, 413, 407, 457.

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}.