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LCM of 911, 629, 779, 247, 289

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


Find the LCM of 911, 629, 779, 247, 289 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 911, 629, 779, 247, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 911,629,779,247,289

Given numbers are 911,629,779,247,289

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

The LCM of 911,629,779,247,289 is 98650378021.

Find LCM of 911,629,779,247,289 with Prime Factorization


17 911, 629, 779, 247, 289
19 911, 37, 779, 247, 17
911, 37, 41, 13, 17

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

17 x 19 x 911 x 37 x 41 x 13 x 17 = 98650378021

Therefore, the lowest common multiple of 911,629,779,247,289 is 98650378021.

LCM Formula to Find Lowest Common Multiple of 911,629,779,247,289

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.

911 x 629 x 779 x 247 x 289 = 31864072100783

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.

911 : 1, 911

629 : 1, 17, 37, 629

779 : 1, 19, 41, 779

247 : 1, 13, 19, 247

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,629,779,247,289, is 1.

Now, the common factors can be found like this.

911:911

629:17x 37

779:19x 41

247:13x 19

289:17x 17

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

17x 19 = 323

Therefore, the value for common factors is 323.

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 = 31864072100783/(1x323)

LCM = 31864072100783/323

LCM = 98650378021

Thus, we can understand that the LCM of 911,629,779,247,289 is 98650378021.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 911, 629, 779, 247, 289

1. What is the LCM of 911, 629, 779, 247, 289?

Answer: LCM of 911, 629, 779, 247, 289 is 98650378021.

2. How to calculate the LCM of 911, 629, 779, 247, 289?

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 911, 629, 779, 247, 289.

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}.