Given numbers are 401,386,468,422

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

The LCM of 401,386,468,422 is 7642403964.

Find LCM of 401,386,468,422 with Prime Factorization

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

2 x 401 x 193 x 234 x 211 = 7642403964

Therefore, the lowest common multiple of 401,386,468,422 is 7642403964.

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.

401 x 386 x 468 x 422 = 30569615856

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.

401 : 1, 401

386 : 1, 2, 193, 386

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,386,468,422, is 1.

Now, the common factors can be found like this.

401:401

386:2x 193

468:2x 2x 3x 3x 13

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 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 = 30569615856/(1x4)

LCM = 30569615856/4

LCM = 7642403964

Thus, we can understand that the LCM of 401,386,468,422 is 7642403964.

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

• LCM of 423, 121, 899, 334
• LCM of 191, 800, 851, 861
• LCM of 744, 850, 186, 112
• LCM of 867, 227, 101, 829
• LCM of 188, 870, 628, 314

1. What is the LCM of 401, 386, 468, 422?

Answer: LCM of 401, 386, 468, 422 is 7642403964.

2. How to calculate the LCM of 401, 386, 468, 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 401, 386, 468, 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}.