Given numbers are 284,429,417,422

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

The LCM of 284,429,417,422 is 3573328044.

Find LCM of 284,429,417,422 with Prime Factorization

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

2 x 3 x 142 x 143 x 139 x 211 = 3573328044

Therefore, the lowest common multiple of 284,429,417,422 is 3573328044.

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.

284 x 429 x 417 x 422 = 21439968264

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.

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

429 : 1, 3, 11, 13, 33, 39, 143, 429

417 : 1, 3, 139, 417

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,429,417,422, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

429:3x 11x 13

417:3x 139

422:2x 211

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 21439968264/(1x6)

LCM = 21439968264/6

LCM = 3573328044

Thus, we can understand that the LCM of 284,429,417,422 is 3573328044.

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

• LCM of 165, 230, 321, 826
• LCM of 996, 840, 986, 263
• LCM of 391, 469, 946, 470
• LCM of 977, 713, 778, 786
• LCM of 855, 484, 158, 309

1. What is the LCM of 284, 429, 417, 422?

Answer: LCM of 284, 429, 417, 422 is 3573328044.

2. How to calculate the LCM of 284, 429, 417, 422?

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 284, 429, 417, 422.

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}.