Given numbers are 481,214,814,426

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

The LCM of 481,214,814,426 is 241174362.

Find LCM of 481,214,814,426 with Prime Factorization

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

2 x 37 x 13 x 107 x 11 x 213 = 241174362

Therefore, the lowest common multiple of 481,214,814,426 is 241174362.

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.

481 x 214 x 814 x 426 = 35693805576

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.

481 : 1, 13, 37, 481

214 : 1, 2, 107, 214

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

426 : 1, 2, 3, 6, 71, 142, 213, 426

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,214,814,426, is 1.

Now, the common factors can be found like this.

481:13x 37

214:2x 107

814:2x 11x 37

426:2x 3x 71

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 37 = 148

Therefore, the value for common factors is 148.

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 = 35693805576/(1x148)

LCM = 35693805576/148

LCM = 241174362

Thus, we can understand that the LCM of 481,214,814,426 is 241174362.

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

• LCM of 494, 641, 280, 960
• LCM of 702, 791, 652, 478
• LCM of 268, 191, 831, 147
• LCM of 581, 366, 674, 137
• LCM of 582, 200, 381, 666

1. What is the LCM of 481, 214, 814, 426?

Answer: LCM of 481, 214, 814, 426 is 241174362.

2. How to calculate the LCM of 481, 214, 814, 426?

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 481, 214, 814, 426.

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}.