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LCM of 726, 973, 898, 898

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


Find the LCM of 726, 973, 898, 898 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 726, 973, 898, 898. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 726,973,898,898

Given numbers are 726,973,898,898

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

The LCM of 726,973,898,898 is 317172702.

Find LCM of 726,973,898,898 with Prime Factorization


2 726, 973, 898, 898
449 363, 973, 449, 449
363, 973, 1, 1

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

2 x 449 x 363 x 973 x 1 x 1 = 317172702

Therefore, the lowest common multiple of 726,973,898,898 is 317172702.

LCM Formula to Find Lowest Common Multiple of 726,973,898,898

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.

726 x 973 x 898 x 898 = 569642172792

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

973 : 1, 7, 139, 973

898 : 1, 2, 449, 898

898 : 1, 2, 449, 898

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,973,898,898, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

973:7x 139

898:2x 449

898:2x 449

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

2x 2x 449 = 1796

Therefore, the value for common factors is 1796.

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 = 569642172792/(1x1796)

LCM = 569642172792/1796

LCM = 317172702

Thus, we can understand that the LCM of 726,973,898,898 is 317172702.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 726, 973, 898, 898

1. What is the LCM of 726, 973, 898, 898?

Answer: LCM of 726, 973, 898, 898 is 317172702.

2. How to calculate the LCM of 726, 973, 898, 898?

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 726, 973, 898, 898.

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}.