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LCM of 281, 331, 351, 802, 934

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


Find the LCM of 281, 331, 351, 802, 934 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 281, 331, 351, 802, 934. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 281,331,351,802,934

Given numbers are 281,331,351,802,934

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

The LCM of 281,331,351,802,934 is 12227359437774.

Find LCM of 281,331,351,802,934 with Prime Factorization


2 281, 331, 351, 802, 934
281, 331, 351, 401, 467

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

2 x 281 x 331 x 351 x 401 x 467 = 12227359437774

Therefore, the lowest common multiple of 281,331,351,802,934 is 12227359437774.

LCM Formula to Find Lowest Common Multiple of 281,331,351,802,934

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.

281 x 331 x 351 x 802 x 934 = 24454718875548

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.

281 : 1, 281

331 : 1, 331

351 : 1, 3, 9, 13, 27, 39, 117, 351

802 : 1, 2, 401, 802

934 : 1, 2, 467, 934

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,331,351,802,934, is 1.

Now, the common factors can be found like this.

281:281

331:331

351:3x 3x 3x 13

802:2x 401

934:2x 467

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 = 24454718875548/(1x2)

LCM = 24454718875548/2

LCM = 12227359437774

Thus, we can understand that the LCM of 281,331,351,802,934 is 12227359437774.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 281, 331, 351, 802, 934

1. What is the LCM of 281, 331, 351, 802, 934?

Answer: LCM of 281, 331, 351, 802, 934 is 12227359437774.

2. How to calculate the LCM of 281, 331, 351, 802, 934?

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 281, 331, 351, 802, 934.

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}.