Given numbers are 364,284,422,919

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

The LCM of 364,284,422,919 is 5011384196.

Find LCM of 364,284,422,919 with Prime Factorization

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

2 x 2 x 91 x 71 x 211 x 919 = 5011384196

Therefore, the lowest common multiple of 364,284,422,919 is 5011384196.

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.

364 x 284 x 422 x 919 = 40091073568

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

422 : 1, 2, 211, 422

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,284,422,919, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

284:2x 2x 71

422:2x 211

919:919

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 2 = 8

Therefore, the value for common factors is 8.

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 = 40091073568/(1x8)

LCM = 40091073568/8

LCM = 5011384196

Thus, we can understand that the LCM of 364,284,422,919 is 5011384196.

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

• LCM of 298, 553, 937, 179
• LCM of 226, 340, 521, 531
• LCM of 341, 518, 919, 903
• LCM of 719, 478, 568, 324
• LCM of 347, 203, 560, 283

1. What is the LCM of 364, 284, 422, 919?

Answer: LCM of 364, 284, 422, 919 is 5011384196.

2. How to calculate the LCM of 364, 284, 422, 919?

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 364, 284, 422, 919.

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}.