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LCM of 695, 759, 243, 291, 404

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


Find the LCM of 695, 759, 243, 291, 404 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 695, 759, 243, 291, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 695,759,243,291,404

Given numbers are 695,759,243,291,404

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

The LCM of 695,759,243,291,404 is 1674421141140.

Find LCM of 695,759,243,291,404 with Prime Factorization


3 695, 759, 243, 291, 404
695, 253, 81, 97, 404

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

3 x 695 x 253 x 81 x 97 x 404 = 1674421141140

Therefore, the lowest common multiple of 695,759,243,291,404 is 1674421141140.

LCM Formula to Find Lowest Common Multiple of 695,759,243,291,404

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.

695 x 759 x 243 x 291 x 404 = 15069790270260

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.

695 : 1, 5, 139, 695

759 : 1, 3, 11, 23, 33, 69, 253, 759

243 : 1, 3, 9, 27, 81, 243

291 : 1, 3, 97, 291

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,759,243,291,404, is 1.

Now, the common factors can be found like this.

695:5x 139

759:3x 11x 23

243:3x 3x 3x 3x 3

291:3x 97

404:2x 2x 101

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 15069790270260/(1x9)

LCM = 15069790270260/9

LCM = 1674421141140

Thus, we can understand that the LCM of 695,759,243,291,404 is 1674421141140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 695, 759, 243, 291, 404

1. What is the LCM of 695, 759, 243, 291, 404?

Answer: LCM of 695, 759, 243, 291, 404 is 1674421141140.

2. How to calculate the LCM of 695, 759, 243, 291, 404?

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 695, 759, 243, 291, 404.

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}.