LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 208, 981, 663, 338, 459

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


Find the LCM of 208, 981, 663, 338, 459 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 208, 981, 663, 338, 459. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 208,981,663,338,459

Given numbers are 208,981,663,338,459

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

The LCM of 208,981,663,338,459 is 135283824.

Find LCM of 208,981,663,338,459 with Prime Factorization


2 208, 981, 663, 338, 459
3 104, 981, 663, 169, 459
3 104, 327, 221, 169, 153
13 104, 109, 221, 169, 51
17 8, 109, 17, 13, 51
8, 109, 1, 13, 3

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

2 x 3 x 3 x 13 x 17 x 8 x 109 x 1 x 13 x 3 = 135283824

Therefore, the lowest common multiple of 208,981,663,338,459 is 135283824.

LCM Formula to Find Lowest Common Multiple of 208,981,663,338,459

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.

208 x 981 x 663 x 338 x 459 = 20988203023008

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

981 : 1, 3, 9, 109, 327, 981

663 : 1, 3, 13, 17, 39, 51, 221, 663

338 : 1, 2, 13, 26, 169, 338

459 : 1, 3, 9, 17, 27, 51, 153, 459

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,981,663,338,459, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

981:3x 3x 109

663:3x 13x 17

338:2x 13x 13

459:3x 3x 3x 17

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

2x 3x 3x 3x 13x 13x 17 = 155142

Therefore, the value for common factors is 155142.

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 = 20988203023008/(1x155142)

LCM = 20988203023008/155142

LCM = 135283824

Thus, we can understand that the LCM of 208,981,663,338,459 is 135283824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 208, 981, 663, 338, 459

1. What is the LCM of 208, 981, 663, 338, 459?

Answer: LCM of 208, 981, 663, 338, 459 is 135283824.

2. How to calculate the LCM of 208, 981, 663, 338, 459?

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 208, 981, 663, 338, 459.

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}.