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LCM of 381, 191, 811, 382

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


Find the LCM of 381, 191, 811, 382 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 381, 191, 811, 382. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,191,811,382

Given numbers are 381,191,811,382

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

The LCM of 381,191,811,382 is 118034562.

Find LCM of 381,191,811,382 with Prime Factorization


191 381, 191, 811, 382
381, 1, 811, 2

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

191 x 381 x 1 x 811 x 2 = 118034562

Therefore, the lowest common multiple of 381,191,811,382 is 118034562.

LCM Formula to Find Lowest Common Multiple of 381,191,811,382

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.

381 x 191 x 811 x 382 = 22544601342

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.

381 : 1, 3, 127, 381

191 : 1, 191

811 : 1, 811

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,191,811,382, is 1.

Now, the common factors can be found like this.

381:3x 127

191:191

811:811

382:2x 191

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

191 = 191

Therefore, the value for common factors is 191.

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 = 22544601342/(1x191)

LCM = 22544601342/191

LCM = 118034562

Thus, we can understand that the LCM of 381,191,811,382 is 118034562.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 191, 811, 382

1. What is the LCM of 381, 191, 811, 382?

Answer: LCM of 381, 191, 811, 382 is 118034562.

2. How to calculate the LCM of 381, 191, 811, 382?

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 381, 191, 811, 382.

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}.