Given numbers are 422,452,668,411,214

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

The LCM of 422,452,668,411,214 is 700427132148.

Find LCM of 422,452,668,411,214 with Prime Factorization

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

2 x 2 x 211 x 113 x 167 x 411 x 107 = 700427132148

Therefore, the lowest common multiple of 422,452,668,411,214 is 700427132148.

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.

422 x 452 x 668 x 411 x 214 = 11206834114368

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.

422 : 1, 2, 211, 422

452 : 1, 2, 4, 113, 226, 452

668 : 1, 2, 4, 167, 334, 668

411 : 1, 3, 137, 411

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,452,668,411,214, is 1.

Now, the common factors can be found like this.

422:2x 211

452:2x 2x 113

668:2x 2x 167

411:3x 137

214:2x 107

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 = 11206834114368/(1x16)

LCM = 11206834114368/16

LCM = 700427132148

Thus, we can understand that the LCM of 422,452,668,411,214 is 700427132148.

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

• LCM of 233, 658, 204, 365, 192
• LCM of 524, 127, 793, 493, 725
• LCM of 243, 142, 726, 932, 558
• LCM of 666, 435, 181, 843, 332
• LCM of 727, 851, 923, 973, 668

1. What is the LCM of 422, 452, 668, 411, 214?

Answer: LCM of 422, 452, 668, 411, 214 is 700427132148.

2. How to calculate the LCM of 422, 452, 668, 411, 214?

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 422, 452, 668, 411, 214.

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}.