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LCM of 181, 331, 662, 711, 766

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


Find the LCM of 181, 331, 662, 711, 766 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 181, 331, 662, 711, 766. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 181,331,662,711,766

Given numbers are 181,331,662,711,766

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

The LCM of 181,331,662,711,766 is 32629088286.

Find LCM of 181,331,662,711,766 with Prime Factorization


2 181, 331, 662, 711, 766
331 181, 331, 331, 711, 383
181, 1, 1, 711, 383

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

2 x 331 x 181 x 1 x 1 x 711 x 383 = 32629088286

Therefore, the lowest common multiple of 181,331,662,711,766 is 32629088286.

LCM Formula to Find Lowest Common Multiple of 181,331,662,711,766

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.

181 x 331 x 662 x 711 x 766 = 21600456445332

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.

181 : 1, 181

331 : 1, 331

662 : 1, 2, 331, 662

711 : 1, 3, 9, 79, 237, 711

766 : 1, 2, 383, 766

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,331,662,711,766, is 1.

Now, the common factors can be found like this.

181:181

331:331

662:2x 331

711:3x 3x 79

766:2x 383

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

2x 331 = 662

Therefore, the value for common factors is 662.

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 = 21600456445332/(1x662)

LCM = 21600456445332/662

LCM = 32629088286

Thus, we can understand that the LCM of 181,331,662,711,766 is 32629088286.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 181, 331, 662, 711, 766

1. What is the LCM of 181, 331, 662, 711, 766?

Answer: LCM of 181, 331, 662, 711, 766 is 32629088286.

2. How to calculate the LCM of 181, 331, 662, 711, 766?

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 181, 331, 662, 711, 766.

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}.