LCM of 813, 909, 969, 578, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 909, 969, 578, 989 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 813, 909, 969, 578, 989. So, keep reading to learn more.
Given numbers are 813,909,969,578,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,909,969,578,989 is 2675536654122.
Find LCM of 813,909,969,578,989 with Prime Factorization
| 3 | 813, 909, 969, 578, 989 |
| 17 | 271, 303, 323, 578, 989 |
| 271, 303, 19, 34, 989 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 271 x 303 x 19 x 34 x 989 = 2675536654122
Therefore, the lowest common multiple of 813,909,969,578,989 is 2675536654122.
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.
813 x 909 x 969 x 578 x 989 = 409357108080666
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.
813 : 1, 3, 271, 813
909 : 1, 3, 9, 101, 303, 909
969 : 1, 3, 17, 19, 51, 57, 323, 969
578 : 1, 2, 17, 34, 289, 578
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,909,969,578,989, is 1.
Now, the common factors can be found like this.
813:3x 271
909:3x 3x 101
969:3x 17x 19
578:2x 17x 17
989:23x 43
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 17 = 153
Therefore, the value for common factors is 153.
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 = 409357108080666/(1x153)
LCM = 409357108080666/153
LCM = 2675536654122
Thus, we can understand that the LCM of 813,909,969,578,989 is 2675536654122.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 813, 909, 969, 578, 989
1. What is the LCM of 813, 909, 969, 578, 989?
Answer: LCM of 813, 909, 969, 578, 989 is 2675536654122.
2. How to calculate the LCM of 813, 909, 969, 578, 989?
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 813, 909, 969, 578, 989.
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}.