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LCM of 263, 391, 381, 835, 711

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


Find the LCM of 263, 391, 381, 835, 711 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 263, 391, 381, 835, 711. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 263,391,381,835,711

Given numbers are 263,391,381,835,711

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

The LCM of 263,391,381,835,711 is 7753402019835.

Find LCM of 263,391,381,835,711 with Prime Factorization


3 263, 391, 381, 835, 711
263, 391, 127, 835, 237

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

3 x 263 x 391 x 127 x 835 x 237 = 7753402019835

Therefore, the lowest common multiple of 263,391,381,835,711 is 7753402019835.

LCM Formula to Find Lowest Common Multiple of 263,391,381,835,711

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.

263 x 391 x 381 x 835 x 711 = 23260206059505

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.

263 : 1, 263

391 : 1, 17, 23, 391

381 : 1, 3, 127, 381

835 : 1, 5, 167, 835

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,391,381,835,711, is 1.

Now, the common factors can be found like this.

263:263

391:17x 23

381:3x 127

835:5x 167

711:3x 3x 79

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

3 = 3

Therefore, the value for common factors is 3.

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 = 23260206059505/(1x3)

LCM = 23260206059505/3

LCM = 7753402019835

Thus, we can understand that the LCM of 263,391,381,835,711 is 7753402019835.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 263, 391, 381, 835, 711

1. What is the LCM of 263, 391, 381, 835, 711?

Answer: LCM of 263, 391, 381, 835, 711 is 7753402019835.

2. How to calculate the LCM of 263, 391, 381, 835, 711?

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 263, 391, 381, 835, 711.

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}.