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LCM of 257, 982, 484, 442

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


Find the LCM of 257, 982, 484, 442 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, 982, 484, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 257,982,484,442

Given numbers are 257,982,484,442

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

The LCM of 257,982,484,442 is 13497466268.

Find LCM of 257,982,484,442 with Prime Factorization


2 257, 982, 484, 442
257, 491, 242, 221

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

2 x 257 x 491 x 242 x 221 = 13497466268

Therefore, the lowest common multiple of 257,982,484,442 is 13497466268.

LCM Formula to Find Lowest Common Multiple of 257,982,484,442

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 982 x 484 x 442 = 53989865072

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

982 : 1, 2, 491, 982

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,982,484,442, is 1.

Now, the common factors can be found like this.

257:257

982:2x 491

484:2x 2x 11x 11

442:2x 13x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 53989865072/(1x4)

LCM = 53989865072/4

LCM = 13497466268

Thus, we can understand that the LCM of 257,982,484,442 is 13497466268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 257, 982, 484, 442

1. What is the LCM of 257, 982, 484, 442?

Answer: LCM of 257, 982, 484, 442 is 13497466268.

2. How to calculate the LCM of 257, 982, 484, 442?

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, 982, 484, 442.

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}.