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LCM of 843, 430, 311, 211, 422

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 843, 430, 311, 211, 422 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 843, 430, 311, 211, 422. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 843,430,311,211,422

Given numbers are 843,430,311,211,422

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

The LCM of 843,430,311,211,422 is 23786956290.

Find LCM of 843,430,311,211,422 with Prime Factorization


2 843, 430, 311, 211, 422
211 843, 215, 311, 211, 211
843, 215, 311, 1, 1

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

2 x 211 x 843 x 215 x 311 x 1 x 1 = 23786956290

Therefore, the lowest common multiple of 843,430,311,211,422 is 23786956290.

LCM Formula to Find Lowest Common Multiple of 843,430,311,211,422

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.

843 x 430 x 311 x 211 x 422 = 10038095554380

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.

843 : 1, 3, 281, 843

430 : 1, 2, 5, 10, 43, 86, 215, 430

311 : 1, 311

211 : 1, 211

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,430,311,211,422, is 1.

Now, the common factors can be found like this.

843:3x 281

430:2x 5x 43

311:311

211:211

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 211 = 422

Therefore, the value for common factors is 422.

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 = 10038095554380/(1x422)

LCM = 10038095554380/422

LCM = 23786956290

Thus, we can understand that the LCM of 843,430,311,211,422 is 23786956290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 843, 430, 311, 211, 422

1. What is the LCM of 843, 430, 311, 211, 422?

Answer: LCM of 843, 430, 311, 211, 422 is 23786956290.

2. How to calculate the LCM of 843, 430, 311, 211, 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 843, 430, 311, 211, 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}.