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LCM of 767, 932, 802, 215, 939

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


Find the LCM of 767, 932, 802, 215, 939 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 767, 932, 802, 215, 939. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,932,802,215,939

Given numbers are 767,932,802,215,939

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

The LCM of 767,932,802,215,939 is 57870828656940.

Find LCM of 767,932,802,215,939 with Prime Factorization


2 767, 932, 802, 215, 939
767, 466, 401, 215, 939

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

2 x 767 x 466 x 401 x 215 x 939 = 57870828656940

Therefore, the lowest common multiple of 767,932,802,215,939 is 57870828656940.

LCM Formula to Find Lowest Common Multiple of 767,932,802,215,939

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.

767 x 932 x 802 x 215 x 939 = 115741657313880

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.

767 : 1, 13, 59, 767

932 : 1, 2, 4, 233, 466, 932

802 : 1, 2, 401, 802

215 : 1, 5, 43, 215

939 : 1, 3, 313, 939

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,932,802,215,939, is 1.

Now, the common factors can be found like this.

767:13x 59

932:2x 2x 233

802:2x 401

215:5x 43

939:3x 313

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 = 115741657313880/(1x2)

LCM = 115741657313880/2

LCM = 57870828656940

Thus, we can understand that the LCM of 767,932,802,215,939 is 57870828656940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 932, 802, 215, 939

1. What is the LCM of 767, 932, 802, 215, 939?

Answer: LCM of 767, 932, 802, 215, 939 is 57870828656940.

2. How to calculate the LCM of 767, 932, 802, 215, 939?

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 767, 932, 802, 215, 939.

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}.