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LCM of 861, 673, 410, 977

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


Find the LCM of 861, 673, 410, 977 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, 673, 410, 977. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 861,673,410,977

Given numbers are 861,673,410,977

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

The LCM of 861,673,410,977 is 5661255810.

Find LCM of 861,673,410,977 with Prime Factorization


41 861, 673, 410, 977
21, 673, 10, 977

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

41 x 21 x 673 x 10 x 977 = 5661255810

Therefore, the lowest common multiple of 861,673,410,977 is 5661255810.

LCM Formula to Find Lowest Common Multiple of 861,673,410,977

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 673 x 410 x 977 = 232111488210

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

673 : 1, 673

410 : 1, 2, 5, 10, 41, 82, 205, 410

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,673,410,977, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

673:673

410:2x 5x 41

977:977

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 = 232111488210/(1x41)

LCM = 232111488210/41

LCM = 5661255810

Thus, we can understand that the LCM of 861,673,410,977 is 5661255810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 861, 673, 410, 977

1. What is the LCM of 861, 673, 410, 977?

Answer: LCM of 861, 673, 410, 977 is 5661255810.

2. How to calculate the LCM of 861, 673, 410, 977?

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, 673, 410, 977.

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}.