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LCM of 187, 187, 200, 209

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


Find the LCM of 187, 187, 200, 209 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 187, 187, 200, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,187,200,209

Given numbers are 187,187,200,209

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

The LCM of 187,187,200,209 is 710600.

Find LCM of 187,187,200,209 with Prime Factorization


11 187, 187, 200, 209
17 17, 17, 200, 19
1, 1, 200, 19

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

11 x 17 x 1 x 1 x 200 x 19 = 710600

Therefore, the lowest common multiple of 187,187,200,209 is 710600.

LCM Formula to Find Lowest Common Multiple of 187,187,200,209

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.

187 x 187 x 200 x 209 = 1461704200

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.

187 : 1, 11, 17, 187

187 : 1, 11, 17, 187

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

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,187,200,209, is 1.

Now, the common factors can be found like this.

187:11x 17

187:11x 17

200:2x 2x 2x 5x 5

209:11x 19

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

11x 11x 17 = 2057

Therefore, the value for common factors is 2057.

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 = 1461704200/(1x2057)

LCM = 1461704200/2057

LCM = 710600

Thus, we can understand that the LCM of 187,187,200,209 is 710600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 187, 200, 209

1. What is the LCM of 187, 187, 200, 209?

Answer: LCM of 187, 187, 200, 209 is 710600.

2. How to calculate the LCM of 187, 187, 200, 209?

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 187, 187, 200, 209.

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}.