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LCM of 680, 414, 357, 579, 535

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


Find the LCM of 680, 414, 357, 579, 535 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, 414, 357, 579, 535. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 680,414,357,579,535

Given numbers are 680,414,357,579,535

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

The LCM of 680,414,357,579,535 is 20347843320.

Find LCM of 680,414,357,579,535 with Prime Factorization


2 680, 414, 357, 579, 535
3 340, 207, 357, 579, 535
5 340, 69, 119, 193, 535
17 68, 69, 119, 193, 107
4, 69, 7, 193, 107

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

2 x 3 x 5 x 17 x 4 x 69 x 7 x 193 x 107 = 20347843320

Therefore, the lowest common multiple of 680,414,357,579,535 is 20347843320.

LCM Formula to Find Lowest Common Multiple of 680,414,357,579,535

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 414 x 357 x 579 x 535 = 31132200279600

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

357 : 1, 3, 7, 17, 21, 51, 119, 357

579 : 1, 3, 193, 579

535 : 1, 5, 107, 535

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,414,357,579,535, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

414:2x 3x 3x 23

357:3x 7x 17

579:3x 193

535:5x 107

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

2x 3x 3x 5x 17 = 1530

Therefore, the value for common factors is 1530.

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 = 31132200279600/(1x1530)

LCM = 31132200279600/1530

LCM = 20347843320

Thus, we can understand that the LCM of 680,414,357,579,535 is 20347843320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 680, 414, 357, 579, 535

1. What is the LCM of 680, 414, 357, 579, 535?

Answer: LCM of 680, 414, 357, 579, 535 is 20347843320.

2. How to calculate the LCM of 680, 414, 357, 579, 535?

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, 414, 357, 579, 535.

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}.