LCM of 939, 174, 768, 903, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 174, 768, 903, 717 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, 174, 768, 903, 717. So, keep reading to learn more.
Given numbers are 939,174,768,903,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,174,768,903,717 is 501496552704.
Find LCM of 939,174,768,903,717 with Prime Factorization
| 2 | 939, 174, 768, 903, 717 |
| 3 | 939, 87, 384, 903, 717 |
| 313, 29, 128, 301, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 313 x 29 x 128 x 301 x 239 = 501496552704
Therefore, the lowest common multiple of 939,174,768,903,717 is 501496552704.
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 174 x 768 x 903 x 717 = 81242441538048
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
174 : 1, 2, 3, 6, 29, 58, 87, 174
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
903 : 1, 3, 7, 21, 43, 129, 301, 903
717 : 1, 3, 239, 717
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,174,768,903,717, is 3.
Now, the common factors can be found like this.
939:3x 313
174:2x 3x 29
768:2x 2x 2x 2x 2x 2x 2x 2x 3
903:3x 7x 43
717:3x 239
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 = 81242441538048/(3x54)
LCM = 81242441538048/162
LCM = 501496552704
Thus, we can understand that the LCM of 939,174,768,903,717 is 501496552704.
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FAQs on LCM of 939, 174, 768, 903, 717
1. What is the LCM of 939, 174, 768, 903, 717?
Answer: LCM of 939, 174, 768, 903, 717 is 501496552704.
2. How to calculate the LCM of 939, 174, 768, 903, 717?
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, 174, 768, 903, 717.
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}.