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LCM of 979, 867, 867

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


Find the LCM of 979, 867, 867 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 979, 867, 867. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,867,867

Given numbers are 979,867,867

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

The LCM of 979,867,867 is 848793.

Find LCM of 979,867,867 with Prime Factorization


3 979, 867, 867
17 979, 289, 289
17 979, 17, 17
979, 1, 1

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

3 x 17 x 17 x 979 x 1 x 1 = 848793

Therefore, the lowest common multiple of 979,867,867 is 848793.

LCM Formula to Find Lowest Common Multiple of 979,867,867

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.

979 x 867 x 867 = 735903531

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.

979 : 1, 11, 89, 979

867 : 1, 3, 17, 51, 289, 867

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,867,867, is 1.

Now, the common factors can be found like this.

979:11x 89

867:3x 17x 17

867:3x 17x 17

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

3x 17x 17 = 867

Therefore, the value for common factors is 867.

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 = 735903531/(1x867)

LCM = 735903531/867

LCM = 848793

Thus, we can understand that the LCM of 979,867,867 is 848793.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 979, 867, 867

1. What is the LCM of 979, 867, 867?

Answer: LCM of 979, 867, 867 is 848793.

2. How to calculate the LCM of 979, 867, 867?

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 979, 867, 867.

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}.