LCM of 909, 247, 777, 481, 241
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 247, 777, 481, 241 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 909, 247, 777, 481, 241. So, keep reading to learn more.
Given numbers are 909,247,777,481,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,247,777,481,241 is 14014501137.
Find LCM of 909,247,777,481,241 with Prime Factorization
| 3 | 909, 247, 777, 481, 241 |
| 13 | 303, 247, 259, 481, 241 |
| 37 | 303, 19, 259, 37, 241 |
| 303, 19, 7, 1, 241 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 37 x 303 x 19 x 7 x 1 x 241 = 14014501137
Therefore, the lowest common multiple of 909,247,777,481,241 is 14014501137.
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.
909 x 247 x 777 x 481 x 241 = 20222925140691
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.
909 : 1, 3, 9, 101, 303, 909
247 : 1, 13, 19, 247
777 : 1, 3, 7, 21, 37, 111, 259, 777
481 : 1, 13, 37, 481
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,247,777,481,241, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
247:13x 19
777:3x 7x 37
481:13x 37
241:241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 37 = 1443
Therefore, the value for common factors is 1443.
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 = 20222925140691/(1x1443)
LCM = 20222925140691/1443
LCM = 14014501137
Thus, we can understand that the LCM of 909,247,777,481,241 is 14014501137.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 909, 247, 777, 481, 241
1. What is the LCM of 909, 247, 777, 481, 241?
Answer: LCM of 909, 247, 777, 481, 241 is 14014501137.
2. How to calculate the LCM of 909, 247, 777, 481, 241?
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 909, 247, 777, 481, 241.
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}.