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LCM of 617, 323, 626, 676

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


Find the LCM of 617, 323, 626, 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 617, 323, 626, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 617,323,626,676

Given numbers are 617,323,626,676

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

The LCM of 617,323,626,676 is 42167584108.

Find LCM of 617,323,626,676 with Prime Factorization


2 617, 323, 626, 676
617, 323, 313, 338

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

2 x 617 x 323 x 313 x 338 = 42167584108

Therefore, the lowest common multiple of 617,323,626,676 is 42167584108.

LCM Formula to Find Lowest Common Multiple of 617,323,626,676

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.

617 x 323 x 626 x 676 = 84335168216

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.

617 : 1, 617

323 : 1, 17, 19, 323

626 : 1, 2, 313, 626

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 617,323,626,676, is 1.

Now, the common factors can be found like this.

617:617

323:17x 19

626:2x 313

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.

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 = 84335168216/(1x2)

LCM = 84335168216/2

LCM = 42167584108

Thus, we can understand that the LCM of 617,323,626,676 is 42167584108.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 617, 323, 626, 676

1. What is the LCM of 617, 323, 626, 676?

Answer: LCM of 617, 323, 626, 676 is 42167584108.

2. How to calculate the LCM of 617, 323, 626, 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 617, 323, 626, 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}.