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LCM of 939, 618, 582, 797

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


Find the LCM of 939, 618, 582, 797 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 939, 618, 582, 797. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 939,618,582,797

Given numbers are 939,618,582,797

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

The LCM of 939,618,582,797 is 14954189106.

Find LCM of 939,618,582,797 with Prime Factorization


2 939, 618, 582, 797
3 939, 309, 291, 797
313, 103, 97, 797

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

2 x 3 x 313 x 103 x 97 x 797 = 14954189106

Therefore, the lowest common multiple of 939,618,582,797 is 14954189106.

LCM Formula to Find Lowest Common Multiple of 939,618,582,797

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.

939 x 618 x 582 x 797 = 269175403908

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.

939 : 1, 3, 313, 939

618 : 1, 2, 3, 6, 103, 206, 309, 618

582 : 1, 2, 3, 6, 97, 194, 291, 582

797 : 1, 797

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,618,582,797, is 1.

Now, the common factors can be found like this.

939:3x 313

618:2x 3x 103

582:2x 3x 97

797:797

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 269175403908/(1x18)

LCM = 269175403908/18

LCM = 14954189106

Thus, we can understand that the LCM of 939,618,582,797 is 14954189106.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 939, 618, 582, 797

1. What is the LCM of 939, 618, 582, 797?

Answer: LCM of 939, 618, 582, 797 is 14954189106.

2. How to calculate the LCM of 939, 618, 582, 797?

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 939, 618, 582, 797.

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}.