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LCM of 717, 706, 585, 410

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


Find the LCM of 717, 706, 585, 410 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 717, 706, 585, 410. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,706,585,410

Given numbers are 717,706,585,410

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

The LCM of 717,706,585,410 is 4047084990.

Find LCM of 717,706,585,410 with Prime Factorization


2 717, 706, 585, 410
3 717, 353, 585, 205
5 239, 353, 195, 205
239, 353, 39, 41

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

2 x 3 x 5 x 239 x 353 x 39 x 41 = 4047084990

Therefore, the lowest common multiple of 717,706,585,410 is 4047084990.

LCM Formula to Find Lowest Common Multiple of 717,706,585,410

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.

717 x 706 x 585 x 410 = 121412549700

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.

717 : 1, 3, 239, 717

706 : 1, 2, 353, 706

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

410 : 1, 2, 5, 10, 41, 82, 205, 410

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,706,585,410, is 1.

Now, the common factors can be found like this.

717:3x 239

706:2x 353

585:3x 3x 5x 13

410:2x 5x 41

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 5 = 30

Therefore, the value for common factors is 30.

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 = 121412549700/(1x30)

LCM = 121412549700/30

LCM = 4047084990

Thus, we can understand that the LCM of 717,706,585,410 is 4047084990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 706, 585, 410

1. What is the LCM of 717, 706, 585, 410?

Answer: LCM of 717, 706, 585, 410 is 4047084990.

2. How to calculate the LCM of 717, 706, 585, 410?

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 717, 706, 585, 410.

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}.