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LCM of 206, 200, 472, 214

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


Find the LCM of 206, 200, 472, 214 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 206, 200, 472, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 206,200,472,214

Given numbers are 206,200,472,214

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

The LCM of 206,200,472,214 is 130047800.

Find LCM of 206,200,472,214 with Prime Factorization


2 206, 200, 472, 214
2 103, 100, 236, 107
2 103, 50, 118, 107
103, 25, 59, 107

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

2 x 2 x 2 x 103 x 25 x 59 x 107 = 130047800

Therefore, the lowest common multiple of 206,200,472,214 is 130047800.

LCM Formula to Find Lowest Common Multiple of 206,200,472,214

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.

206 x 200 x 472 x 214 = 4161529600

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.

206 : 1, 2, 103, 206

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

472 : 1, 2, 4, 8, 59, 118, 236, 472

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,200,472,214, is 2.

Now, the common factors can be found like this.

206:2x 103

200:2x 2x 2x 5x 5

472:2x 2x 2x 59

214:2x 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 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 4161529600/(2x16)

LCM = 4161529600/32

LCM = 130047800

Thus, we can understand that the LCM of 206,200,472,214 is 130047800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 206, 200, 472, 214

1. What is the LCM of 206, 200, 472, 214?

Answer: LCM of 206, 200, 472, 214 is 130047800.

2. How to calculate the LCM of 206, 200, 472, 214?

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 206, 200, 472, 214.

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}.