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LCM of 682, 547, 481, 192

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


Find the LCM of 682, 547, 481, 192 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 682, 547, 481, 192. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,547,481,192

Given numbers are 682,547,481,192

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

The LCM of 682,547,481,192 is 17226141504.

Find LCM of 682,547,481,192 with Prime Factorization


2 682, 547, 481, 192
341, 547, 481, 96

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

2 x 341 x 547 x 481 x 96 = 17226141504

Therefore, the lowest common multiple of 682,547,481,192 is 17226141504.

LCM Formula to Find Lowest Common Multiple of 682,547,481,192

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.

682 x 547 x 481 x 192 = 34452283008

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.

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

547 : 1, 547

481 : 1, 13, 37, 481

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,547,481,192, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

547:547

481:13x 37

192:2x 2x 2x 2x 2x 2x 3

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

2 = 2

Therefore, the value for common factors is 2.

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 = 34452283008/(1x2)

LCM = 34452283008/2

LCM = 17226141504

Thus, we can understand that the LCM of 682,547,481,192 is 17226141504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 547, 481, 192

1. What is the LCM of 682, 547, 481, 192?

Answer: LCM of 682, 547, 481, 192 is 17226141504.

2. How to calculate the LCM of 682, 547, 481, 192?

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 682, 547, 481, 192.

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}.