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LCM of 981, 682, 482, 499, 530

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


Find the LCM of 981, 682, 482, 499, 530 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 981, 682, 482, 499, 530. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 981,682,482,499,530

Given numbers are 981,682,482,499,530

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

The LCM of 981,682,482,499,530 is 21321455297670.

Find LCM of 981,682,482,499,530 with Prime Factorization


2 981, 682, 482, 499, 530
981, 341, 241, 499, 265

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

2 x 981 x 341 x 241 x 499 x 265 = 21321455297670

Therefore, the lowest common multiple of 981,682,482,499,530 is 21321455297670.

LCM Formula to Find Lowest Common Multiple of 981,682,482,499,530

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.

981 x 682 x 482 x 499 x 530 = 85285821190680

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.

981 : 1, 3, 9, 109, 327, 981

682 : 1, 2, 11, 22, 31, 62, 341, 682

482 : 1, 2, 241, 482

499 : 1, 499

530 : 1, 2, 5, 10, 53, 106, 265, 530

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,682,482,499,530, is 1.

Now, the common factors can be found like this.

981:3x 3x 109

682:2x 11x 31

482:2x 241

499:499

530:2x 5x 53

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 = 85285821190680/(1x4)

LCM = 85285821190680/4

LCM = 21321455297670

Thus, we can understand that the LCM of 981,682,482,499,530 is 21321455297670.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 981, 682, 482, 499, 530

1. What is the LCM of 981, 682, 482, 499, 530?

Answer: LCM of 981, 682, 482, 499, 530 is 21321455297670.

2. How to calculate the LCM of 981, 682, 482, 499, 530?

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 981, 682, 482, 499, 530.

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}.