LCM of 813, 114, 177, 968, 825
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 114, 177, 968, 825 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, 114, 177, 968, 825. So, keep reading to learn more.
Given numbers are 813,114,177,968,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,114,177,968,825 is 22055226600.
Find LCM of 813,114,177,968,825 with Prime Factorization
| 2 | 813, 114, 177, 968, 825 |
| 3 | 813, 57, 177, 484, 825 |
| 11 | 271, 19, 59, 484, 275 |
| 271, 19, 59, 44, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 271 x 19 x 59 x 44 x 25 = 22055226600
Therefore, the lowest common multiple of 813,114,177,968,825 is 22055226600.
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 114 x 177 x 968 x 825 = 13100804600400
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
114 : 1, 2, 3, 6, 19, 38, 57, 114
177 : 1, 3, 59, 177
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,114,177,968,825, is 1.
Now, the common factors can be found like this.
813:3x 271
114:2x 3x 19
177:3x 59
968:2x 2x 2x 11x 11
825:3x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11 = 594
Therefore, the value for common factors is 594.
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 = 13100804600400/(1x594)
LCM = 13100804600400/594
LCM = 22055226600
Thus, we can understand that the LCM of 813,114,177,968,825 is 22055226600.
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FAQs on LCM of 813, 114, 177, 968, 825
1. What is the LCM of 813, 114, 177, 968, 825?
Answer: LCM of 813, 114, 177, 968, 825 is 22055226600.
2. How to calculate the LCM of 813, 114, 177, 968, 825?
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, 114, 177, 968, 825.
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}.