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LCM of 844, 422, 329, 351

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


Find the LCM of 844, 422, 329, 351 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 844, 422, 329, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 844,422,329,351

Given numbers are 844,422,329,351

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

The LCM of 844,422,329,351 is 97464276.

Find LCM of 844,422,329,351 with Prime Factorization


2 844, 422, 329, 351
211 422, 211, 329, 351
2, 1, 329, 351

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

2 x 211 x 2 x 1 x 329 x 351 = 97464276

Therefore, the lowest common multiple of 844,422,329,351 is 97464276.

LCM Formula to Find Lowest Common Multiple of 844,422,329,351

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.

844 x 422 x 329 x 351 = 41129924472

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.

844 : 1, 2, 4, 211, 422, 844

422 : 1, 2, 211, 422

329 : 1, 7, 47, 329

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,422,329,351, is 1.

Now, the common factors can be found like this.

844:2x 2x 211

422:2x 211

329:7x 47

351:3x 3x 3x 13

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 = 41129924472/(1x422)

LCM = 41129924472/422

LCM = 97464276

Thus, we can understand that the LCM of 844,422,329,351 is 97464276.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 844, 422, 329, 351

1. What is the LCM of 844, 422, 329, 351?

Answer: LCM of 844, 422, 329, 351 is 97464276.

2. How to calculate the LCM of 844, 422, 329, 351?

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 844, 422, 329, 351.

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}.