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LCM of 205, 317, 595, 336, 507

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


Find the LCM of 205, 317, 595, 336, 507 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, 317, 595, 336, 507. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 205,317,595,336,507

Given numbers are 205,317,595,336,507

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

The LCM of 205,317,595,336,507 is 62731840080.

Find LCM of 205,317,595,336,507 with Prime Factorization


3 205, 317, 595, 336, 507
5 205, 317, 595, 112, 169
7 41, 317, 119, 112, 169
41, 317, 17, 16, 169

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

3 x 5 x 7 x 41 x 317 x 17 x 16 x 169 = 62731840080

Therefore, the lowest common multiple of 205,317,595,336,507 is 62731840080.

LCM Formula to Find Lowest Common Multiple of 205,317,595,336,507

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 317 x 595 x 336 x 507 = 6586843208400

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

317 : 1, 317

595 : 1, 5, 7, 17, 35, 85, 119, 595

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,317,595,336,507, is 1.

Now, the common factors can be found like this.

205:5x 41

317:317

595:5x 7x 17

336:2x 2x 2x 2x 3x 7

507:3x 13x 13

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 7 = 105

Therefore, the value for common factors is 105.

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 = 6586843208400/(1x105)

LCM = 6586843208400/105

LCM = 62731840080

Thus, we can understand that the LCM of 205,317,595,336,507 is 62731840080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 205, 317, 595, 336, 507

1. What is the LCM of 205, 317, 595, 336, 507?

Answer: LCM of 205, 317, 595, 336, 507 is 62731840080.

2. How to calculate the LCM of 205, 317, 595, 336, 507?

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, 317, 595, 336, 507.

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}.