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LCM of 938, 816, 574, 539, 721

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


Find the LCM of 938, 816, 574, 539, 721 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 938, 816, 574, 539, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 938,816,574,539,721

Given numbers are 938,816,574,539,721

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

The LCM of 938,816,574,539,721 is 124444242384.

Find LCM of 938,816,574,539,721 with Prime Factorization


2 938, 816, 574, 539, 721
7 469, 408, 287, 539, 721
67, 408, 41, 77, 103

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

2 x 7 x 67 x 408 x 41 x 77 x 103 = 124444242384

Therefore, the lowest common multiple of 938,816,574,539,721 is 124444242384.

LCM Formula to Find Lowest Common Multiple of 938,816,574,539,721

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.

938 x 816 x 574 x 539 x 721 = 170737500550848

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.

938 : 1, 2, 7, 14, 67, 134, 469, 938

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

574 : 1, 2, 7, 14, 41, 82, 287, 574

539 : 1, 7, 11, 49, 77, 539

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,816,574,539,721, is 1.

Now, the common factors can be found like this.

938:2x 7x 67

816:2x 2x 2x 2x 3x 17

574:2x 7x 41

539:7x 7x 11

721:7x 103

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 7x 7x 7 = 1372

Therefore, the value for common factors is 1372.

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 = 170737500550848/(1x1372)

LCM = 170737500550848/1372

LCM = 124444242384

Thus, we can understand that the LCM of 938,816,574,539,721 is 124444242384.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 938, 816, 574, 539, 721

1. What is the LCM of 938, 816, 574, 539, 721?

Answer: LCM of 938, 816, 574, 539, 721 is 124444242384.

2. How to calculate the LCM of 938, 816, 574, 539, 721?

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 938, 816, 574, 539, 721.

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}.