LCM of 939, 105, 323, 901, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 105, 323, 901, 815 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, 105, 323, 901, 815. So, keep reading to learn more.
Given numbers are 939,105,323,901,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,105,323,901,815 is 91706397405.
Find LCM of 939,105,323,901,815 with Prime Factorization
| 3 | 939, 105, 323, 901, 815 |
| 5 | 313, 35, 323, 901, 815 |
| 17 | 313, 7, 323, 901, 163 |
| 313, 7, 19, 53, 163 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 313 x 7 x 19 x 53 x 163 = 91706397405
Therefore, the lowest common multiple of 939,105,323,901,815 is 91706397405.
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 105 x 323 x 901 x 815 = 23385131338275
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
105 : 1, 3, 5, 7, 15, 21, 35, 105
323 : 1, 17, 19, 323
901 : 1, 17, 53, 901
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,105,323,901,815, is 1.
Now, the common factors can be found like this.
939:3x 313
105:3x 5x 7
323:17x 19
901:17x 53
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 17 = 255
Therefore, the value for common factors is 255.
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 = 23385131338275/(1x255)
LCM = 23385131338275/255
LCM = 91706397405
Thus, we can understand that the LCM of 939,105,323,901,815 is 91706397405.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 939, 105, 323, 901, 815
1. What is the LCM of 939, 105, 323, 901, 815?
Answer: LCM of 939, 105, 323, 901, 815 is 91706397405.
2. How to calculate the LCM of 939, 105, 323, 901, 815?
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, 105, 323, 901, 815.
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}.