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LCM of 381, 413, 404, 274

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


Find the LCM of 381, 413, 404, 274 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, 413, 404, 274. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,413,404,274

Given numbers are 381,413,404,274

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

The LCM of 381,413,404,274 is 8709173844.

Find LCM of 381,413,404,274 with Prime Factorization


2 381, 413, 404, 274
381, 413, 202, 137

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

2 x 381 x 413 x 202 x 137 = 8709173844

Therefore, the lowest common multiple of 381,413,404,274 is 8709173844.

LCM Formula to Find Lowest Common Multiple of 381,413,404,274

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 413 x 404 x 274 = 17418347688

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

413 : 1, 7, 59, 413

404 : 1, 2, 4, 101, 202, 404

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,413,404,274, is 1.

Now, the common factors can be found like this.

381:3x 127

413:7x 59

404:2x 2x 101

274:2x 137

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

2 = 2

Therefore, the value for common factors is 2.

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 = 17418347688/(1x2)

LCM = 17418347688/2

LCM = 8709173844

Thus, we can understand that the LCM of 381,413,404,274 is 8709173844.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 413, 404, 274

1. What is the LCM of 381, 413, 404, 274?

Answer: LCM of 381, 413, 404, 274 is 8709173844.

2. How to calculate the LCM of 381, 413, 404, 274?

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, 413, 404, 274.

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}.