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LCM of 998, 538, 366, 954, 455

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


Find the LCM of 998, 538, 366, 954, 455 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 998, 538, 366, 954, 455. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 998,538,366,954,455

Given numbers are 998,538,366,954,455

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

The LCM of 998,538,366,954,455 is 3554204660370.

Find LCM of 998,538,366,954,455 with Prime Factorization


2 998, 538, 366, 954, 455
3 499, 269, 183, 477, 455
499, 269, 61, 159, 455

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

2 x 3 x 499 x 269 x 61 x 159 x 455 = 3554204660370

Therefore, the lowest common multiple of 998,538,366,954,455 is 3554204660370.

LCM Formula to Find Lowest Common Multiple of 998,538,366,954,455

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.

998 x 538 x 366 x 954 x 455 = 85300911848880

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.

998 : 1, 2, 499, 998

538 : 1, 2, 269, 538

366 : 1, 2, 3, 6, 61, 122, 183, 366

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

455 : 1, 5, 7, 13, 35, 65, 91, 455

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,538,366,954,455, is 1.

Now, the common factors can be found like this.

998:2x 499

538:2x 269

366:2x 3x 61

954:2x 3x 3x 53

455:5x 7x 13

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 85300911848880/(1x24)

LCM = 85300911848880/24

LCM = 3554204660370

Thus, we can understand that the LCM of 998,538,366,954,455 is 3554204660370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 998, 538, 366, 954, 455

1. What is the LCM of 998, 538, 366, 954, 455?

Answer: LCM of 998, 538, 366, 954, 455 is 3554204660370.

2. How to calculate the LCM of 998, 538, 366, 954, 455?

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 998, 538, 366, 954, 455.

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}.