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LCM of 341, 843, 398, 404

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


Find the LCM of 341, 843, 398, 404 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 341, 843, 398, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,843,398,404

Given numbers are 341,843,398,404

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

The LCM of 341,843,398,404 is 23110875348.

Find LCM of 341,843,398,404 with Prime Factorization


2 341, 843, 398, 404
341, 843, 199, 202

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

2 x 341 x 843 x 199 x 202 = 23110875348

Therefore, the lowest common multiple of 341,843,398,404 is 23110875348.

LCM Formula to Find Lowest Common Multiple of 341,843,398,404

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.

341 x 843 x 398 x 404 = 46221750696

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.

341 : 1, 11, 31, 341

843 : 1, 3, 281, 843

398 : 1, 2, 199, 398

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,843,398,404, is 1.

Now, the common factors can be found like this.

341:11x 31

843:3x 281

398:2x 199

404:2x 2x 101

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 46221750696/(1x2)

LCM = 46221750696/2

LCM = 23110875348

Thus, we can understand that the LCM of 341,843,398,404 is 23110875348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 843, 398, 404

1. What is the LCM of 341, 843, 398, 404?

Answer: LCM of 341, 843, 398, 404 is 23110875348.

2. How to calculate the LCM of 341, 843, 398, 404?

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 341, 843, 398, 404.

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}.