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LCM of 363, 939, 897, 113, 904

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


Find the LCM of 363, 939, 897, 113, 904 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 363, 939, 897, 113, 904. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,939,897,113,904

Given numbers are 363,939,897,113,904

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

The LCM of 363,939,897,113,904 is 30710761224.

Find LCM of 363,939,897,113,904 with Prime Factorization


3 363, 939, 897, 113, 904
113 121, 313, 299, 113, 904
121, 313, 299, 1, 8

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

3 x 113 x 121 x 313 x 299 x 1 x 8 = 30710761224

Therefore, the lowest common multiple of 363,939,897,113,904 is 30710761224.

LCM Formula to Find Lowest Common Multiple of 363,939,897,113,904

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.

363 x 939 x 897 x 113 x 904 = 31232844164808

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.

363 : 1, 3, 11, 33, 121, 363

939 : 1, 3, 313, 939

897 : 1, 3, 13, 23, 39, 69, 299, 897

113 : 1, 113

904 : 1, 2, 4, 8, 113, 226, 452, 904

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,939,897,113,904, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

939:3x 313

897:3x 13x 23

113:113

904:2x 2x 2x 113

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

3x 3x 113 = 1017

Therefore, the value for common factors is 1017.

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 = 31232844164808/(1x1017)

LCM = 31232844164808/1017

LCM = 30710761224

Thus, we can understand that the LCM of 363,939,897,113,904 is 30710761224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 939, 897, 113, 904

1. What is the LCM of 363, 939, 897, 113, 904?

Answer: LCM of 363, 939, 897, 113, 904 is 30710761224.

2. How to calculate the LCM of 363, 939, 897, 113, 904?

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 363, 939, 897, 113, 904.

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}.