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LCM of 200, 715, 529, 731, 222

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


Find the LCM of 200, 715, 529, 731, 222 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, 715, 529, 731, 222. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 200,715,529,731,222

Given numbers are 200,715,529,731,222

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

The LCM of 200,715,529,731,222 is 1227614645400.

Find LCM of 200,715,529,731,222 with Prime Factorization


2 200, 715, 529, 731, 222
5 100, 715, 529, 731, 111
20, 143, 529, 731, 111

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

2 x 5 x 20 x 143 x 529 x 731 x 111 = 1227614645400

Therefore, the lowest common multiple of 200,715,529,731,222 is 1227614645400.

LCM Formula to Find Lowest Common Multiple of 200,715,529,731,222

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 715 x 529 x 731 x 222 = 12276146454000

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

529 : 1, 23, 529

731 : 1, 17, 43, 731

222 : 1, 2, 3, 6, 37, 74, 111, 222

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,715,529,731,222, is 1.

Now, the common factors can be found like this.

200:2x 2x 2x 5x 5

715:5x 11x 13

529:23x 23

731:17x 43

222:2x 3x 37

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 12276146454000/(1x10)

LCM = 12276146454000/10

LCM = 1227614645400

Thus, we can understand that the LCM of 200,715,529,731,222 is 1227614645400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 200, 715, 529, 731, 222

1. What is the LCM of 200, 715, 529, 731, 222?

Answer: LCM of 200, 715, 529, 731, 222 is 1227614645400.

2. How to calculate the LCM of 200, 715, 529, 731, 222?

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, 715, 529, 731, 222.

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}.