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LCM of 835, 338, 339, 334, 841

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


Find the LCM of 835, 338, 339, 334, 841 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 835, 338, 339, 334, 841. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 835,338,339,334,841

Given numbers are 835,338,339,334,841

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

The LCM of 835,338,339,334,841 is 80463490770.

Find LCM of 835,338,339,334,841 with Prime Factorization


2 835, 338, 339, 334, 841
167 835, 169, 339, 167, 841
5, 169, 339, 1, 841

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

2 x 167 x 5 x 169 x 339 x 1 x 841 = 80463490770

Therefore, the lowest common multiple of 835,338,339,334,841 is 80463490770.

LCM Formula to Find Lowest Common Multiple of 835,338,339,334,841

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.

835 x 338 x 339 x 334 x 841 = 26874805917180

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.

835 : 1, 5, 167, 835

338 : 1, 2, 13, 26, 169, 338

339 : 1, 3, 113, 339

334 : 1, 2, 167, 334

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,338,339,334,841, is 1.

Now, the common factors can be found like this.

835:5x 167

338:2x 13x 13

339:3x 113

334:2x 167

841:29x 29

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

2x 167 = 334

Therefore, the value for common factors is 334.

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 = 26874805917180/(1x334)

LCM = 26874805917180/334

LCM = 80463490770

Thus, we can understand that the LCM of 835,338,339,334,841 is 80463490770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 835, 338, 339, 334, 841

1. What is the LCM of 835, 338, 339, 334, 841?

Answer: LCM of 835, 338, 339, 334, 841 is 80463490770.

2. How to calculate the LCM of 835, 338, 339, 334, 841?

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 835, 338, 339, 334, 841.

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}.