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LCM of 187, 582, 849, 763, 327

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


Find the LCM of 187, 582, 849, 763, 327 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, 582, 849, 763, 327. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,582,849,763,327

Given numbers are 187,582,849,763,327

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

The LCM of 187,582,849,763,327 is 23500416786.

Find LCM of 187,582,849,763,327 with Prime Factorization


3 187, 582, 849, 763, 327
109 187, 194, 283, 763, 109
187, 194, 283, 7, 1

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

3 x 109 x 187 x 194 x 283 x 7 x 1 = 23500416786

Therefore, the lowest common multiple of 187,582,849,763,327 is 23500416786.

LCM Formula to Find Lowest Common Multiple of 187,582,849,763,327

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 582 x 849 x 763 x 327 = 23053908867066

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

849 : 1, 3, 283, 849

763 : 1, 7, 109, 763

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,582,849,763,327, is 1.

Now, the common factors can be found like this.

187:11x 17

582:2x 3x 97

849:3x 283

763:7x 109

327:3x 109

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

3x 3x 109 = 981

Therefore, the value for common factors is 981.

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 = 23053908867066/(1x981)

LCM = 23053908867066/981

LCM = 23500416786

Thus, we can understand that the LCM of 187,582,849,763,327 is 23500416786.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 582, 849, 763, 327

1. What is the LCM of 187, 582, 849, 763, 327?

Answer: LCM of 187, 582, 849, 763, 327 is 23500416786.

2. How to calculate the LCM of 187, 582, 849, 763, 327?

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, 582, 849, 763, 327.

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}.