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LCM of 205, 289, 374, 515

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


Find the LCM of 205, 289, 374, 515 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 205, 289, 374, 515. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 205,289,374,515

Given numbers are 205,289,374,515

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

The LCM of 205,289,374,515 is 134249170.

Find LCM of 205,289,374,515 with Prime Factorization


5 205, 289, 374, 515
17 41, 289, 374, 103
41, 17, 22, 103

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

5 x 17 x 41 x 17 x 22 x 103 = 134249170

Therefore, the lowest common multiple of 205,289,374,515 is 134249170.

LCM Formula to Find Lowest Common Multiple of 205,289,374,515

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.

205 x 289 x 374 x 515 = 11411179450

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.

205 : 1, 5, 41, 205

289 : 1, 17, 289

374 : 1, 2, 11, 17, 22, 34, 187, 374

515 : 1, 5, 103, 515

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,289,374,515, is 1.

Now, the common factors can be found like this.

205:5x 41

289:17x 17

374:2x 11x 17

515:5x 103

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

5x 17 = 85

Therefore, the value for common factors is 85.

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 = 11411179450/(1x85)

LCM = 11411179450/85

LCM = 134249170

Thus, we can understand that the LCM of 205,289,374,515 is 134249170.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 205, 289, 374, 515

1. What is the LCM of 205, 289, 374, 515?

Answer: LCM of 205, 289, 374, 515 is 134249170.

2. How to calculate the LCM of 205, 289, 374, 515?

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 205, 289, 374, 515.

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}.