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LCM of 296, 481, 388, 250, 676

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


Find the LCM of 296, 481, 388, 250, 676 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 296, 481, 388, 250, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 296,481,388,250,676

Given numbers are 296,481,388,250,676

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

The LCM of 296,481,388,250,676 is 606541000.

Find LCM of 296,481,388,250,676 with Prime Factorization


2 296, 481, 388, 250, 676
2 148, 481, 194, 125, 338
13 74, 481, 97, 125, 169
37 74, 37, 97, 125, 13
2, 1, 97, 125, 13

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

2 x 2 x 13 x 37 x 2 x 1 x 97 x 125 x 13 = 606541000

Therefore, the lowest common multiple of 296,481,388,250,676 is 606541000.

LCM Formula to Find Lowest Common Multiple of 296,481,388,250,676

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.

296 x 481 x 388 x 250 x 676 = 9335879072000

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

481 : 1, 13, 37, 481

388 : 1, 2, 4, 97, 194, 388

250 : 1, 2, 5, 10, 25, 50, 125, 250

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,481,388,250,676, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

481:13x 37

388:2x 2x 97

250:2x 5x 5x 5

676:2x 2x 13x 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 2x 2x 13x 37 = 15392

Therefore, the value for common factors is 15392.

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 = 9335879072000/(1x15392)

LCM = 9335879072000/15392

LCM = 606541000

Thus, we can understand that the LCM of 296,481,388,250,676 is 606541000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 296, 481, 388, 250, 676

1. What is the LCM of 296, 481, 388, 250, 676?

Answer: LCM of 296, 481, 388, 250, 676 is 606541000.

2. How to calculate the LCM of 296, 481, 388, 250, 676?

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 296, 481, 388, 250, 676.

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}.