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LCM of 257, 401, 447, 837, 392

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


Find the LCM of 257, 401, 447, 837, 392 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, 401, 447, 837, 392. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 257,401,447,837,392

Given numbers are 257,401,447,837,392

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

The LCM of 257,401,447,837,392 is 5038198675272.

Find LCM of 257,401,447,837,392 with Prime Factorization


3 257, 401, 447, 837, 392
257, 401, 149, 279, 392

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

3 x 257 x 401 x 149 x 279 x 392 = 5038198675272

Therefore, the lowest common multiple of 257,401,447,837,392 is 5038198675272.

LCM Formula to Find Lowest Common Multiple of 257,401,447,837,392

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 401 x 447 x 837 x 392 = 15114596025816

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

401 : 1, 401

447 : 1, 3, 149, 447

837 : 1, 3, 9, 27, 31, 93, 279, 837

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,401,447,837,392, is 1.

Now, the common factors can be found like this.

257:257

401:401

447:3x 149

837:3x 3x 3x 31

392:2x 2x 2x 7x 7

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 = 15114596025816/(1x3)

LCM = 15114596025816/3

LCM = 5038198675272

Thus, we can understand that the LCM of 257,401,447,837,392 is 5038198675272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 257, 401, 447, 837, 392

1. What is the LCM of 257, 401, 447, 837, 392?

Answer: LCM of 257, 401, 447, 837, 392 is 5038198675272.

2. How to calculate the LCM of 257, 401, 447, 837, 392?

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, 401, 447, 837, 392.

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}.