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LCM of 927, 338, 995, 760

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


Find the LCM of 927, 338, 995, 760 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 927, 338, 995, 760. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 927,338,995,760

Given numbers are 927,338,995,760

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

The LCM of 927,338,995,760 is 23693712120.

Find LCM of 927,338,995,760 with Prime Factorization


2 927, 338, 995, 760
5 927, 169, 995, 380
927, 169, 199, 76

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

2 x 5 x 927 x 169 x 199 x 76 = 23693712120

Therefore, the lowest common multiple of 927,338,995,760 is 23693712120.

LCM Formula to Find Lowest Common Multiple of 927,338,995,760

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.

927 x 338 x 995 x 760 = 236937121200

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.

927 : 1, 3, 9, 103, 309, 927

338 : 1, 2, 13, 26, 169, 338

995 : 1, 5, 199, 995

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,338,995,760, is 1.

Now, the common factors can be found like this.

927:3x 3x 103

338:2x 13x 13

995:5x 199

760:2x 2x 2x 5x 19

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 236937121200/(1x10)

LCM = 236937121200/10

LCM = 23693712120

Thus, we can understand that the LCM of 927,338,995,760 is 23693712120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 927, 338, 995, 760

1. What is the LCM of 927, 338, 995, 760?

Answer: LCM of 927, 338, 995, 760 is 23693712120.

2. How to calculate the LCM of 927, 338, 995, 760?

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 927, 338, 995, 760.

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}.