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LCM of 364, 291, 959, 849

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


Find the LCM of 364, 291, 959, 849 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 364, 291, 959, 849. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 364,291,959,849

Given numbers are 364,291,959,849

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

The LCM of 364,291,959,849 is 4106779404.

Find LCM of 364,291,959,849 with Prime Factorization


3 364, 291, 959, 849
7 364, 97, 959, 283
52, 97, 137, 283

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

3 x 7 x 52 x 97 x 137 x 283 = 4106779404

Therefore, the lowest common multiple of 364,291,959,849 is 4106779404.

LCM Formula to Find Lowest Common Multiple of 364,291,959,849

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.

364 x 291 x 959 x 849 = 86242367484

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

291 : 1, 3, 97, 291

959 : 1, 7, 137, 959

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,291,959,849, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

291:3x 97

959:7x 137

849:3x 283

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

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 86242367484/(1x21)

LCM = 86242367484/21

LCM = 4106779404

Thus, we can understand that the LCM of 364,291,959,849 is 4106779404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 364, 291, 959, 849

1. What is the LCM of 364, 291, 959, 849?

Answer: LCM of 364, 291, 959, 849 is 4106779404.

2. How to calculate the LCM of 364, 291, 959, 849?

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 364, 291, 959, 849.

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}.