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LCM of 726, 991, 373, 809, 512

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


Find the LCM of 726, 991, 373, 809, 512 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, 991, 373, 809, 512. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 726,991,373,809,512

Given numbers are 726,991,373,809,512

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

The LCM of 726,991,373,809,512 is 55578598851072.

Find LCM of 726,991,373,809,512 with Prime Factorization


2 726, 991, 373, 809, 512
363, 991, 373, 809, 256

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

2 x 363 x 991 x 373 x 809 x 256 = 55578598851072

Therefore, the lowest common multiple of 726,991,373,809,512 is 55578598851072.

LCM Formula to Find Lowest Common Multiple of 726,991,373,809,512

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 991 x 373 x 809 x 512 = 111157197702144

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

991 : 1, 991

373 : 1, 373

809 : 1, 809

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,991,373,809,512, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

991:991

373:373

809:809

512:2x 2x 2x 2x 2x 2x 2x 2x 2

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

2 = 2

Therefore, the value for common factors is 2.

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 = 111157197702144/(1x2)

LCM = 111157197702144/2

LCM = 55578598851072

Thus, we can understand that the LCM of 726,991,373,809,512 is 55578598851072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 726, 991, 373, 809, 512

1. What is the LCM of 726, 991, 373, 809, 512?

Answer: LCM of 726, 991, 373, 809, 512 is 55578598851072.

2. How to calculate the LCM of 726, 991, 373, 809, 512?

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, 991, 373, 809, 512.

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}.