Given numbers are 422,214,229,284

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

The LCM of 422,214,229,284 is 1468317772.

Find LCM of 422,214,229,284 with Prime Factorization

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

2 x 211 x 107 x 229 x 142 = 1468317772

Therefore, the lowest common multiple of 422,214,229,284 is 1468317772.

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 214 x 229 x 284 = 5873271088

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

214 : 1, 2, 107, 214

229 : 1, 229

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,214,229,284, is 1.

Now, the common factors can be found like this.

422:2x 211

214:2x 107

229:229

284:2x 2x 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 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 = 5873271088/(1x4)

LCM = 5873271088/4

LCM = 1468317772

Thus, we can understand that the LCM of 422,214,229,284 is 1468317772.

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

• LCM of 223, 455, 464, 236
• LCM of 854, 588, 242, 716
• LCM of 845, 126, 746, 209
• LCM of 802, 561, 467, 394
• LCM of 502, 813, 278, 716

1. What is the LCM of 422, 214, 229, 284?

Answer: LCM of 422, 214, 229, 284 is 1468317772.

2. How to calculate the LCM of 422, 214, 229, 284?

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, 214, 229, 284.

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}.