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LCM of 182, 304, 338, 841

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


Find the LCM of 182, 304, 338, 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 182, 304, 338, 841. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,304,338,841

Given numbers are 182,304,338,841

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

The LCM of 182,304,338,841 is 302450512.

Find LCM of 182,304,338,841 with Prime Factorization


2 182, 304, 338, 841
13 91, 152, 169, 841
7, 152, 13, 841

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

2 x 13 x 7 x 152 x 13 x 841 = 302450512

Therefore, the lowest common multiple of 182,304,338,841 is 302450512.

LCM Formula to Find Lowest Common Multiple of 182,304,338,841

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.

182 x 304 x 338 x 841 = 15727426624

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.

182 : 1, 2, 7, 13, 14, 26, 91, 182

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,304,338,841, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

304:2x 2x 2x 2x 19

338:2x 13x 13

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 2x 13 = 52

Therefore, the value for common factors is 52.

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 = 15727426624/(1x52)

LCM = 15727426624/52

LCM = 302450512

Thus, we can understand that the LCM of 182,304,338,841 is 302450512.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 304, 338, 841

1. What is the LCM of 182, 304, 338, 841?

Answer: LCM of 182, 304, 338, 841 is 302450512.

2. How to calculate the LCM of 182, 304, 338, 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 182, 304, 338, 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}.