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LCM of 861, 697, 773

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


Find the LCM of 861, 697, 773 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, 697, 773. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 861,697,773

Given numbers are 861,697,773

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

The LCM of 861,697,773 is 11314401.

Find LCM of 861,697,773 with Prime Factorization


41 861, 697, 773
21, 17, 773

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

41 x 21 x 17 x 773 = 11314401

Therefore, the lowest common multiple of 861,697,773 is 11314401.

LCM Formula to Find Lowest Common Multiple of 861,697,773

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 697 x 773 = 463890441

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

697 : 1, 17, 41, 697

773 : 1, 773

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,697,773, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

697:17x 41

773:773

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

41 = 41

Therefore, the value for common factors is 41.

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 = 463890441/(1x41)

LCM = 463890441/41

LCM = 11314401

Thus, we can understand that the LCM of 861,697,773 is 11314401.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 861, 697, 773

1. What is the LCM of 861, 697, 773?

Answer: LCM of 861, 697, 773 is 11314401.

2. How to calculate the LCM of 861, 697, 773?

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, 697, 773.

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}.