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LCM of 166, 774, 344, 877

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


Find the LCM of 166, 774, 344, 877 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 166, 774, 344, 877. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 166,774,344,877

Given numbers are 166,774,344,877

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

The LCM of 166,774,344,877 is 225360936.

Find LCM of 166,774,344,877 with Prime Factorization


2 166, 774, 344, 877
43 83, 387, 172, 877
83, 9, 4, 877

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

2 x 43 x 83 x 9 x 4 x 877 = 225360936

Therefore, the lowest common multiple of 166,774,344,877 is 225360936.

LCM Formula to Find Lowest Common Multiple of 166,774,344,877

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.

166 x 774 x 344 x 877 = 38762080992

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.

166 : 1, 2, 83, 166

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

344 : 1, 2, 4, 8, 43, 86, 172, 344

877 : 1, 877

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,774,344,877, is 1.

Now, the common factors can be found like this.

166:2x 83

774:2x 3x 3x 43

344:2x 2x 2x 43

877:877

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

2x 2x 43 = 172

Therefore, the value for common factors is 172.

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 = 38762080992/(1x172)

LCM = 38762080992/172

LCM = 225360936

Thus, we can understand that the LCM of 166,774,344,877 is 225360936.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 166, 774, 344, 877

1. What is the LCM of 166, 774, 344, 877?

Answer: LCM of 166, 774, 344, 877 is 225360936.

2. How to calculate the LCM of 166, 774, 344, 877?

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 166, 774, 344, 877.

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}.