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LCM of 200, 382, 355, 710

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


Find the LCM of 200, 382, 355, 710 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 200, 382, 355, 710. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 200,382,355,710

Given numbers are 200,382,355,710

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

The LCM of 200,382,355,710 is 2712200.

Find LCM of 200,382,355,710 with Prime Factorization


2 200, 382, 355, 710
5 100, 191, 355, 355
71 20, 191, 71, 71
20, 191, 1, 1

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

2 x 5 x 71 x 20 x 191 x 1 x 1 = 2712200

Therefore, the lowest common multiple of 200,382,355,710 is 2712200.

LCM Formula to Find Lowest Common Multiple of 200,382,355,710

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.

200 x 382 x 355 x 710 = 19256620000

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.

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

382 : 1, 2, 191, 382

355 : 1, 5, 71, 355

710 : 1, 2, 5, 10, 71, 142, 355, 710

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,382,355,710, is 1.

Now, the common factors can be found like this.

200:2x 2x 2x 5x 5

382:2x 191

355:5x 71

710:2x 5x 71

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 5x 5x 71 = 7100

Therefore, the value for common factors is 7100.

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 = 19256620000/(1x7100)

LCM = 19256620000/7100

LCM = 2712200

Thus, we can understand that the LCM of 200,382,355,710 is 2712200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 200, 382, 355, 710

1. What is the LCM of 200, 382, 355, 710?

Answer: LCM of 200, 382, 355, 710 is 2712200.

2. How to calculate the LCM of 200, 382, 355, 710?

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 200, 382, 355, 710.

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}.