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LCM of 484, 851, 682, 506

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


Find the LCM of 484, 851, 682, 506 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 484, 851, 682, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,851,682,506

Given numbers are 484,851,682,506

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

The LCM of 484,851,682,506 is 12768404.

Find LCM of 484,851,682,506 with Prime Factorization


2 484, 851, 682, 506
11 242, 851, 341, 253
23 22, 851, 31, 23
22, 37, 31, 1

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

2 x 11 x 23 x 22 x 37 x 31 x 1 = 12768404

Therefore, the lowest common multiple of 484,851,682,506 is 12768404.

LCM Formula to Find Lowest Common Multiple of 484,851,682,506

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.

484 x 851 x 682 x 506 = 142137873328

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.

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

851 : 1, 23, 37, 851

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,851,682,506, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

851:23x 37

682:2x 11x 31

506:2x 11x 23

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 11x 11x 23 = 11132

Therefore, the value for common factors is 11132.

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 = 142137873328/(1x11132)

LCM = 142137873328/11132

LCM = 12768404

Thus, we can understand that the LCM of 484,851,682,506 is 12768404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 851, 682, 506

1. What is the LCM of 484, 851, 682, 506?

Answer: LCM of 484, 851, 682, 506 is 12768404.

2. How to calculate the LCM of 484, 851, 682, 506?

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 484, 851, 682, 506.

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}.