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LCM of 114, 165, 289, 671, 395

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


Find the LCM of 114, 165, 289, 671, 395 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 114, 165, 289, 671, 395. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 114,165,289,671,395

Given numbers are 114,165,289,671,395

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

The LCM of 114,165,289,671,395 is 8732172570.

Find LCM of 114,165,289,671,395 with Prime Factorization


3 114, 165, 289, 671, 395
5 38, 55, 289, 671, 395
11 38, 11, 289, 671, 79
38, 1, 289, 61, 79

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

3 x 5 x 11 x 38 x 1 x 289 x 61 x 79 = 8732172570

Therefore, the lowest common multiple of 114,165,289,671,395 is 8732172570.

LCM Formula to Find Lowest Common Multiple of 114,165,289,671,395

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.

114 x 165 x 289 x 671 x 395 = 1440808474050

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

165 : 1, 3, 5, 11, 15, 33, 55, 165

289 : 1, 17, 289

671 : 1, 11, 61, 671

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,165,289,671,395, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

165:3x 5x 11

289:17x 17

671:11x 61

395:5x 79

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

3x 5x 11 = 165

Therefore, the value for common factors is 165.

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 = 1440808474050/(1x165)

LCM = 1440808474050/165

LCM = 8732172570

Thus, we can understand that the LCM of 114,165,289,671,395 is 8732172570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 114, 165, 289, 671, 395

1. What is the LCM of 114, 165, 289, 671, 395?

Answer: LCM of 114, 165, 289, 671, 395 is 8732172570.

2. How to calculate the LCM of 114, 165, 289, 671, 395?

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 114, 165, 289, 671, 395.

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}.