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LCM of 814, 793, 273, 181

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


Find the LCM of 814, 793, 273, 181 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 814, 793, 273, 181. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,793,273,181

Given numbers are 814,793,273,181

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

The LCM of 814,793,273,181 is 2453553102.

Find LCM of 814,793,273,181 with Prime Factorization


13 814, 793, 273, 181
814, 61, 21, 181

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

13 x 814 x 61 x 21 x 181 = 2453553102

Therefore, the lowest common multiple of 814,793,273,181 is 2453553102.

LCM Formula to Find Lowest Common Multiple of 814,793,273,181

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.

814 x 793 x 273 x 181 = 31896190326

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

793 : 1, 13, 61, 793

273 : 1, 3, 7, 13, 21, 39, 91, 273

181 : 1, 181

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,793,273,181, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

793:13x 61

273:3x 7x 13

181:181

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

13 = 13

Therefore, the value for common factors is 13.

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 = 31896190326/(1x13)

LCM = 31896190326/13

LCM = 2453553102

Thus, we can understand that the LCM of 814,793,273,181 is 2453553102.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 793, 273, 181

1. What is the LCM of 814, 793, 273, 181?

Answer: LCM of 814, 793, 273, 181 is 2453553102.

2. How to calculate the LCM of 814, 793, 273, 181?

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 814, 793, 273, 181.

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}.