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LCM of 680, 286, 622, 517

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


Find the LCM of 680, 286, 622, 517 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 680, 286, 622, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 680,286,622,517

Given numbers are 680,286,622,517

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

The LCM of 680,286,622,517 is 1421357080.

Find LCM of 680,286,622,517 with Prime Factorization


2 680, 286, 622, 517
11 340, 143, 311, 517
340, 13, 311, 47

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

2 x 11 x 340 x 13 x 311 x 47 = 1421357080

Therefore, the lowest common multiple of 680,286,622,517 is 1421357080.

LCM Formula to Find Lowest Common Multiple of 680,286,622,517

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.

680 x 286 x 622 x 517 = 62539711520

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

286 : 1, 2, 11, 13, 22, 26, 143, 286

622 : 1, 2, 311, 622

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,286,622,517, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

286:2x 11x 13

622:2x 311

517:11x 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 2x 11 = 44

Therefore, the value for common factors is 44.

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 = 62539711520/(1x44)

LCM = 62539711520/44

LCM = 1421357080

Thus, we can understand that the LCM of 680,286,622,517 is 1421357080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 680, 286, 622, 517

1. What is the LCM of 680, 286, 622, 517?

Answer: LCM of 680, 286, 622, 517 is 1421357080.

2. How to calculate the LCM of 680, 286, 622, 517?

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 680, 286, 622, 517.

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}.