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LCM of 797, 641, 304, 913, 249

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


Find the LCM of 797, 641, 304, 913, 249 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 797, 641, 304, 913, 249. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,641,304,913,249

Given numbers are 797,641,304,913,249

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

The LCM of 797,641,304,913,249 is 425384799312.

Find LCM of 797,641,304,913,249 with Prime Factorization


83 797, 641, 304, 913, 249
797, 641, 304, 11, 3

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

83 x 797 x 641 x 304 x 11 x 3 = 425384799312

Therefore, the lowest common multiple of 797,641,304,913,249 is 425384799312.

LCM Formula to Find Lowest Common Multiple of 797,641,304,913,249

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.

797 x 641 x 304 x 913 x 249 = 35306938342896

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.

797 : 1, 797

641 : 1, 641

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

913 : 1, 11, 83, 913

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,641,304,913,249, is 1.

Now, the common factors can be found like this.

797:797

641:641

304:2x 2x 2x 2x 19

913:11x 83

249:3x 83

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

83 = 83

Therefore, the value for common factors is 83.

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 = 35306938342896/(1x83)

LCM = 35306938342896/83

LCM = 425384799312

Thus, we can understand that the LCM of 797,641,304,913,249 is 425384799312.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 641, 304, 913, 249

1. What is the LCM of 797, 641, 304, 913, 249?

Answer: LCM of 797, 641, 304, 913, 249 is 425384799312.

2. How to calculate the LCM of 797, 641, 304, 913, 249?

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 797, 641, 304, 913, 249.

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}.