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LCM of 257, 247, 381, 845, 811

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


Find the LCM of 257, 247, 381, 845, 811 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 257, 247, 381, 845, 811. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 257,247,381,845,811

Given numbers are 257,247,381,845,811

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

The LCM of 257,247,381,845,811 is 1274938579785.

Find LCM of 257,247,381,845,811 with Prime Factorization


13 257, 247, 381, 845, 811
257, 19, 381, 65, 811

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

13 x 257 x 19 x 381 x 65 x 811 = 1274938579785

Therefore, the lowest common multiple of 257,247,381,845,811 is 1274938579785.

LCM Formula to Find Lowest Common Multiple of 257,247,381,845,811

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.

257 x 247 x 381 x 845 x 811 = 16574201537205

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.

257 : 1, 257

247 : 1, 13, 19, 247

381 : 1, 3, 127, 381

845 : 1, 5, 13, 65, 169, 845

811 : 1, 811

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,247,381,845,811, is 1.

Now, the common factors can be found like this.

257:257

247:13x 19

381:3x 127

845:5x 13x 13

811:811

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

13 = 13

Therefore, the value for common factors is 13.

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 = 16574201537205/(1x13)

LCM = 16574201537205/13

LCM = 1274938579785

Thus, we can understand that the LCM of 257,247,381,845,811 is 1274938579785.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 257, 247, 381, 845, 811

1. What is the LCM of 257, 247, 381, 845, 811?

Answer: LCM of 257, 247, 381, 845, 811 is 1274938579785.

2. How to calculate the LCM of 257, 247, 381, 845, 811?

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 257, 247, 381, 845, 811.

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}.