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LCM of 297, 432, 747, 629, 779

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


Find the LCM of 297, 432, 747, 629, 779 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 297, 432, 747, 629, 779. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 297,432,747,629,779

Given numbers are 297,432,747,629,779

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

The LCM of 297,432,747,629,779 is 193260290256.

Find LCM of 297,432,747,629,779 with Prime Factorization


3 297, 432, 747, 629, 779
3 99, 144, 249, 629, 779
3 33, 48, 83, 629, 779
11, 16, 83, 629, 779

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

3 x 3 x 3 x 11 x 16 x 83 x 629 x 779 = 193260290256

Therefore, the lowest common multiple of 297,432,747,629,779 is 193260290256.

LCM Formula to Find Lowest Common Multiple of 297,432,747,629,779

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.

297 x 432 x 747 x 629 x 779 = 46962250532208

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.

297 : 1, 3, 9, 11, 27, 33, 99, 297

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

747 : 1, 3, 9, 83, 249, 747

629 : 1, 17, 37, 629

779 : 1, 19, 41, 779

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,432,747,629,779, is 1.

Now, the common factors can be found like this.

297:3x 3x 3x 11

432:2x 2x 2x 2x 3x 3x 3

747:3x 3x 83

629:17x 37

779:19x 41

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

3x 3x 3x 3x 3 = 243

Therefore, the value for common factors is 243.

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 = 46962250532208/(1x243)

LCM = 46962250532208/243

LCM = 193260290256

Thus, we can understand that the LCM of 297,432,747,629,779 is 193260290256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 297, 432, 747, 629, 779

1. What is the LCM of 297, 432, 747, 629, 779?

Answer: LCM of 297, 432, 747, 629, 779 is 193260290256.

2. How to calculate the LCM of 297, 432, 747, 629, 779?

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 297, 432, 747, 629, 779.

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}.