LCM of 307, 781, 923, 397, 593
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 307, 781, 923, 397, 593 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 307, 781, 923, 397, 593. So, keep reading to learn more.
Given numbers are 307,781,923,397,593
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,781,923,397,593 is 733800429791.
Find LCM of 307,781,923,397,593 with Prime Factorization
| 71 | 307, 781, 923, 397, 593 |
| 307, 11, 13, 397, 593 |
Multiply the prime numbers at the bottom and the left side.
71 x 307 x 11 x 13 x 397 x 593 = 733800429791
Therefore, the lowest common multiple of 307,781,923,397,593 is 733800429791.
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.
307 x 781 x 923 x 397 x 593 = 52099830515161
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.
307 : 1, 307
781 : 1, 11, 71, 781
923 : 1, 13, 71, 923
397 : 1, 397
593 : 1, 593
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,781,923,397,593, is 1.
Now, the common factors can be found like this.
307:307
781:11x 71
923:13x 71
397:397
593:593
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
71 = 71
Therefore, the value for common factors is 71.
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 = 52099830515161/(1x71)
LCM = 52099830515161/71
LCM = 733800429791
Thus, we can understand that the LCM of 307,781,923,397,593 is 733800429791.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 307, 781, 923, 397, 593
1. What is the LCM of 307, 781, 923, 397, 593?
Answer: LCM of 307, 781, 923, 397, 593 is 733800429791.
2. How to calculate the LCM of 307, 781, 923, 397, 593?
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 307, 781, 923, 397, 593.
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}.