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LCM of 299, 326, 195, 494, 451

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


Find the LCM of 299, 326, 195, 494, 451 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 299, 326, 195, 494, 451. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,326,195,494,451

Given numbers are 299,326,195,494,451

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

The LCM of 299,326,195,494,451 is 12528820590.

Find LCM of 299,326,195,494,451 with Prime Factorization


2 299, 326, 195, 494, 451
13 299, 163, 195, 247, 451
23, 163, 15, 19, 451

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

2 x 13 x 23 x 163 x 15 x 19 x 451 = 12528820590

Therefore, the lowest common multiple of 299,326,195,494,451 is 12528820590.

LCM Formula to Find Lowest Common Multiple of 299,326,195,494,451

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.

299 x 326 x 195 x 494 x 451 = 4234741359420

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.

299 : 1, 13, 23, 299

326 : 1, 2, 163, 326

195 : 1, 3, 5, 13, 15, 39, 65, 195

494 : 1, 2, 13, 19, 26, 38, 247, 494

451 : 1, 11, 41, 451

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,326,195,494,451, is 1.

Now, the common factors can be found like this.

299:13x 23

326:2x 163

195:3x 5x 13

494:2x 13x 19

451:11x 41

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 4234741359420/(1x338)

LCM = 4234741359420/338

LCM = 12528820590

Thus, we can understand that the LCM of 299,326,195,494,451 is 12528820590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 326, 195, 494, 451

1. What is the LCM of 299, 326, 195, 494, 451?

Answer: LCM of 299, 326, 195, 494, 451 is 12528820590.

2. How to calculate the LCM of 299, 326, 195, 494, 451?

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 299, 326, 195, 494, 451.

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}.