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LCM of 982, 920, 274, 419, 454

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


Find the LCM of 982, 920, 274, 419, 454 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 982, 920, 274, 419, 454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 982,920,274,419,454

Given numbers are 982,920,274,419,454

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

The LCM of 982,920,274,419,454 is 5886128877320.

Find LCM of 982,920,274,419,454 with Prime Factorization


2 982, 920, 274, 419, 454
491, 460, 137, 419, 227

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

2 x 491 x 460 x 137 x 419 x 227 = 5886128877320

Therefore, the lowest common multiple of 982,920,274,419,454 is 5886128877320.

LCM Formula to Find Lowest Common Multiple of 982,920,274,419,454

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.

982 x 920 x 274 x 419 x 454 = 47089031018560

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.

982 : 1, 2, 491, 982

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

274 : 1, 2, 137, 274

419 : 1, 419

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,920,274,419,454, is 1.

Now, the common factors can be found like this.

982:2x 491

920:2x 2x 2x 5x 23

274:2x 137

419:419

454:2x 227

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 2 = 8

Therefore, the value for common factors is 8.

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 = 47089031018560/(1x8)

LCM = 47089031018560/8

LCM = 5886128877320

Thus, we can understand that the LCM of 982,920,274,419,454 is 5886128877320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 982, 920, 274, 419, 454

1. What is the LCM of 982, 920, 274, 419, 454?

Answer: LCM of 982, 920, 274, 419, 454 is 5886128877320.

2. How to calculate the LCM of 982, 920, 274, 419, 454?

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 982, 920, 274, 419, 454.

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}.