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LCM of 861, 785, 508, 993, 993

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


Find the LCM of 861, 785, 508, 993, 993 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 861, 785, 508, 993, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 861,785,508,993,993

Given numbers are 861,785,508,993,993

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

The LCM of 861,785,508,993,993 is 113648710980.

Find LCM of 861,785,508,993,993 with Prime Factorization


3 861, 785, 508, 993, 993
331 287, 785, 508, 331, 331
287, 785, 508, 1, 1

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

3 x 331 x 287 x 785 x 508 x 1 x 1 = 113648710980

Therefore, the lowest common multiple of 861,785,508,993,993 is 113648710980.

LCM Formula to Find Lowest Common Multiple of 861,785,508,993,993

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.

861 x 785 x 508 x 993 x 993 = 338559510009420

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

785 : 1, 5, 157, 785

508 : 1, 2, 4, 127, 254, 508

993 : 1, 3, 331, 993

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,785,508,993,993, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

785:5x 157

508:2x 2x 127

993:3x 331

993:3x 331

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 331 = 2979

Therefore, the value for common factors is 2979.

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 = 338559510009420/(1x2979)

LCM = 338559510009420/2979

LCM = 113648710980

Thus, we can understand that the LCM of 861,785,508,993,993 is 113648710980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 861, 785, 508, 993, 993

1. What is the LCM of 861, 785, 508, 993, 993?

Answer: LCM of 861, 785, 508, 993, 993 is 113648710980.

2. How to calculate the LCM of 861, 785, 508, 993, 993?

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 861, 785, 508, 993, 993.

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}.