LCM of 813, 928, 848, 543, 665
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 928, 848, 543, 665 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, 928, 848, 543, 665. So, keep reading to learn more.
Given numbers are 813,928,848,543,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,928,848,543,665 is 4812986146080.
Find LCM of 813,928,848,543,665 with Prime Factorization
| 2 | 813, 928, 848, 543, 665 |
| 2 | 813, 464, 424, 543, 665 |
| 2 | 813, 232, 212, 543, 665 |
| 2 | 813, 116, 106, 543, 665 |
| 3 | 813, 58, 53, 543, 665 |
| 271, 58, 53, 181, 665 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 271 x 58 x 53 x 181 x 665 = 4812986146080
Therefore, the lowest common multiple of 813,928,848,543,665 is 4812986146080.
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 928 x 848 x 543 x 665 = 231023335011840
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
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
543 : 1, 3, 181, 543
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,928,848,543,665, is 1.
Now, the common factors can be found like this.
813:3x 271
928:2x 2x 2x 2x 2x 29
848:2x 2x 2x 2x 53
543:3x 181
665:5x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 231023335011840/(1x48)
LCM = 231023335011840/48
LCM = 4812986146080
Thus, we can understand that the LCM of 813,928,848,543,665 is 4812986146080.
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FAQs on LCM of 813, 928, 848, 543, 665
1. What is the LCM of 813, 928, 848, 543, 665?
Answer: LCM of 813, 928, 848, 543, 665 is 4812986146080.
2. How to calculate the LCM of 813, 928, 848, 543, 665?
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, 928, 848, 543, 665.
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}.