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LCM of 200, 823, 731, 997, 652

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


Find the LCM of 200, 823, 731, 997, 652 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, 823, 731, 997, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 200,823,731,997,652

Given numbers are 200,823,731,997,652

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

The LCM of 200,823,731,997,652 is 19553746048600.

Find LCM of 200,823,731,997,652 with Prime Factorization


2 200, 823, 731, 997, 652
2 100, 823, 731, 997, 326
50, 823, 731, 997, 163

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

2 x 2 x 50 x 823 x 731 x 997 x 163 = 19553746048600

Therefore, the lowest common multiple of 200,823,731,997,652 is 19553746048600.

LCM Formula to Find Lowest Common Multiple of 200,823,731,997,652

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 823 x 731 x 997 x 652 = 78214984194400

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

823 : 1, 823

731 : 1, 17, 43, 731

997 : 1, 997

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,823,731,997,652, is 1.

Now, the common factors can be found like this.

200:2x 2x 2x 5x 5

823:823

731:17x 43

997:997

652:2x 2x 163

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 78214984194400/(1x4)

LCM = 78214984194400/4

LCM = 19553746048600

Thus, we can understand that the LCM of 200,823,731,997,652 is 19553746048600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 200, 823, 731, 997, 652

1. What is the LCM of 200, 823, 731, 997, 652?

Answer: LCM of 200, 823, 731, 997, 652 is 19553746048600.

2. How to calculate the LCM of 200, 823, 731, 997, 652?

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, 823, 731, 997, 652.

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}.