Given numbers are 311,830,180,422

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

The LCM of 311,830,180,422 is 980377740.

Find LCM of 311,830,180,422 with Prime Factorization

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

2 x 5 x 311 x 83 x 18 x 211 = 980377740

Therefore, the lowest common multiple of 311,830,180,422 is 980377740.

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.

311 x 830 x 180 x 422 = 19607554800

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.

311 : 1, 311

830 : 1, 2, 5, 10, 83, 166, 415, 830

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,830,180,422, is 1.

Now, the common factors can be found like this.

311:311

830:2x 5x 83

180:2x 2x 3x 3x 5

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 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 19607554800/(1x20)

LCM = 19607554800/20

LCM = 980377740

Thus, we can understand that the LCM of 311,830,180,422 is 980377740.

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

• LCM of 248, 200, 991, 965
• LCM of 183, 907, 781, 800
• LCM of 404, 792, 260, 656
• LCM of 931, 560, 417, 725
• LCM of 742, 954, 485, 188

1. What is the LCM of 311, 830, 180, 422?

Answer: LCM of 311, 830, 180, 422 is 980377740.

2. How to calculate the LCM of 311, 830, 180, 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 311, 830, 180, 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}.