LCM of 613, 726, 678, 330, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 613, 726, 678, 330, 923 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 613, 726, 678, 330, 923. So, keep reading to learn more.
Given numbers are 613,726,678,330,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 613,726,678,330,923 is 232085091810.
Find LCM of 613,726,678,330,923 with Prime Factorization
| 2 | 613, 726, 678, 330, 923 |
| 3 | 613, 363, 339, 165, 923 |
| 11 | 613, 121, 113, 55, 923 |
| 613, 11, 113, 5, 923 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 613 x 11 x 113 x 5 x 923 = 232085091810
Therefore, the lowest common multiple of 613,726,678,330,923 is 232085091810.
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.
613 x 726 x 678 x 330 x 923 = 91905696356760
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.
613 : 1, 613
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
678 : 1, 2, 3, 6, 113, 226, 339, 678
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,726,678,330,923, is 1.
Now, the common factors can be found like this.
613:613
726:2x 3x 11x 11
678:2x 3x 113
330:2x 3x 5x 11
923:13x 71
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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 91905696356760/(1x396)
LCM = 91905696356760/396
LCM = 232085091810
Thus, we can understand that the LCM of 613,726,678,330,923 is 232085091810.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 613, 726, 678, 330, 923
1. What is the LCM of 613, 726, 678, 330, 923?
Answer: LCM of 613, 726, 678, 330, 923 is 232085091810.
2. How to calculate the LCM of 613, 726, 678, 330, 923?
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 613, 726, 678, 330, 923.
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}.