Given numbers are 417,394,814,442

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

The LCM of 417,394,814,442 is 14778112206.

Find LCM of 417,394,814,442 with Prime Factorization

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

2 x 417 x 197 x 407 x 221 = 14778112206

Therefore, the lowest common multiple of 417,394,814,442 is 14778112206.

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.

417 x 394 x 814 x 442 = 59112448824

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.

417 : 1, 3, 139, 417

394 : 1, 2, 197, 394

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,394,814,442, is 1.

Now, the common factors can be found like this.

417:3x 139

394:2x 197

814:2x 11x 37

442:2x 13x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 59112448824/(1x4)

LCM = 59112448824/4

LCM = 14778112206

Thus, we can understand that the LCM of 417,394,814,442 is 14778112206.

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

• LCM of 238, 741, 395, 955
• LCM of 788, 383, 284, 985
• LCM of 644, 516, 115, 854
• LCM of 489, 285, 362, 703
• LCM of 434, 687, 102, 731

1. What is the LCM of 417, 394, 814, 442?

Answer: LCM of 417, 394, 814, 442 is 14778112206.

2. How to calculate the LCM of 417, 394, 814, 442?

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 417, 394, 814, 442.

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}.