LCM of 939, 108, 814, 923, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 108, 814, 923, 315 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 939, 108, 814, 923, 315. So, keep reading to learn more.
Given numbers are 939,108,814,923,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,108,814,923,315 is 444459555540.
Find LCM of 939,108,814,923,315 with Prime Factorization
| 2 | 939, 108, 814, 923, 315 |
| 3 | 939, 54, 407, 923, 315 |
| 3 | 313, 18, 407, 923, 105 |
| 313, 6, 407, 923, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 313 x 6 x 407 x 923 x 35 = 444459555540
Therefore, the lowest common multiple of 939,108,814,923,315 is 444459555540.
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.
939 x 108 x 814 x 923 x 315 = 24000815999160
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.
939 : 1, 3, 313, 939
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
814 : 1, 2, 11, 22, 37, 74, 407, 814
923 : 1, 13, 71, 923
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,108,814,923,315, is 1.
Now, the common factors can be found like this.
939:3x 313
108:2x 2x 3x 3x 3
814:2x 11x 37
923:13x 71
315:3x 3x 5x 7
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 3 = 54
Therefore, the value for common factors is 54.
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 = 24000815999160/(1x54)
LCM = 24000815999160/54
LCM = 444459555540
Thus, we can understand that the LCM of 939,108,814,923,315 is 444459555540.
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FAQs on LCM of 939, 108, 814, 923, 315
1. What is the LCM of 939, 108, 814, 923, 315?
Answer: LCM of 939, 108, 814, 923, 315 is 444459555540.
2. How to calculate the LCM of 939, 108, 814, 923, 315?
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 939, 108, 814, 923, 315.
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}.