Given numbers are 922,614,164,408,418

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

The LCM of 922,614,164,408,418 is 494799904104.

Find LCM of 922,614,164,408,418 with Prime Factorization

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

2 x 2 x 461 x 307 x 41 x 102 x 209 = 494799904104

Therefore, the lowest common multiple of 922,614,164,408,418 is 494799904104.

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.

922 x 614 x 164 x 408 x 418 = 15833596931328

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.

922 : 1, 2, 461, 922

614 : 1, 2, 307, 614

164 : 1, 2, 4, 41, 82, 164

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

418 : 1, 2, 11, 19, 22, 38, 209, 418

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,614,164,408,418, is 2.

Now, the common factors can be found like this.

922:2x 461

614:2x 307

164:2x 2x 41

408:2x 2x 2x 3x 17

418:2x 11x 19

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 15833596931328/(2x16)

LCM = 15833596931328/32

LCM = 494799904104

Thus, we can understand that the LCM of 922,614,164,408,418 is 494799904104.

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

• LCM of 496, 722, 526, 308, 337
• LCM of 604, 641, 337, 990, 794
• LCM of 294, 919, 915, 864, 983
• LCM of 574, 360, 931, 439, 931
• LCM of 518, 518, 884, 249, 224

1. What is the LCM of 922, 614, 164, 408, 418?

Answer: LCM of 922, 614, 164, 408, 418 is 494799904104.

2. How to calculate the LCM of 922, 614, 164, 408, 418?

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 922, 614, 164, 408, 418.

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}.