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LCM of 613, 898, 461, 206, 376

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


Find the LCM of 613, 898, 461, 206, 376 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 613, 898, 461, 206, 376. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 613,898,461,206,376

Given numbers are 613,898,461,206,376

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

The LCM of 613,898,461,206,376 is 4913973505096.

Find LCM of 613,898,461,206,376 with Prime Factorization


2 613, 898, 461, 206, 376
613, 449, 461, 103, 188

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

2 x 613 x 449 x 461 x 103 x 188 = 4913973505096

Therefore, the lowest common multiple of 613,898,461,206,376 is 4913973505096.

LCM Formula to Find Lowest Common Multiple of 613,898,461,206,376

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.

613 x 898 x 461 x 206 x 376 = 19655894020384

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.

613 : 1, 613

898 : 1, 2, 449, 898

461 : 1, 461

206 : 1, 2, 103, 206

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,898,461,206,376, is 1.

Now, the common factors can be found like this.

613:613

898:2x 449

461:461

206:2x 103

376:2x 2x 2x 47

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 = 19655894020384/(1x4)

LCM = 19655894020384/4

LCM = 4913973505096

Thus, we can understand that the LCM of 613,898,461,206,376 is 4913973505096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 613, 898, 461, 206, 376

1. What is the LCM of 613, 898, 461, 206, 376?

Answer: LCM of 613, 898, 461, 206, 376 is 4913973505096.

2. How to calculate the LCM of 613, 898, 461, 206, 376?

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 613, 898, 461, 206, 376.

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}.