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LCM of 759, 388, 359, 435

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


Find the LCM of 759, 388, 359, 435 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 759, 388, 359, 435. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 759,388,359,435

Given numbers are 759,388,359,435

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

The LCM of 759,388,359,435 is 15329781060.

Find LCM of 759,388,359,435 with Prime Factorization


3 759, 388, 359, 435
253, 388, 359, 145

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

3 x 253 x 388 x 359 x 145 = 15329781060

Therefore, the lowest common multiple of 759,388,359,435 is 15329781060.

LCM Formula to Find Lowest Common Multiple of 759,388,359,435

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.

759 x 388 x 359 x 435 = 45989343180

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.

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

388 : 1, 2, 4, 97, 194, 388

359 : 1, 359

435 : 1, 3, 5, 15, 29, 87, 145, 435

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,388,359,435, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

388:2x 2x 97

359:359

435:3x 5x 29

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

3 = 3

Therefore, the value for common factors is 3.

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 = 45989343180/(1x3)

LCM = 45989343180/3

LCM = 15329781060

Thus, we can understand that the LCM of 759,388,359,435 is 15329781060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 759, 388, 359, 435

1. What is the LCM of 759, 388, 359, 435?

Answer: LCM of 759, 388, 359, 435 is 15329781060.

2. How to calculate the LCM of 759, 388, 359, 435?

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 759, 388, 359, 435.

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}.