LCM of 117, 715, 789, 783, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 715, 789, 783, 819 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 117, 715, 789, 783, 819. So, keep reading to learn more.
Given numbers are 117,715,789,783,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,715,789,783,819 is 1030674645.
Find LCM of 117,715,789,783,819 with Prime Factorization
| 3 | 117, 715, 789, 783, 819 |
| 3 | 39, 715, 263, 261, 273 |
| 13 | 13, 715, 263, 87, 91 |
| 1, 55, 263, 87, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 1 x 55 x 263 x 87 x 7 = 1030674645
Therefore, the lowest common multiple of 117,715,789,783,819 is 1030674645.
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.
117 x 715 x 789 x 783 x 819 = 42326715646215
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.
117 : 1, 3, 9, 13, 39, 117
715 : 1, 5, 11, 13, 55, 65, 143, 715
789 : 1, 3, 263, 789
783 : 1, 3, 9, 27, 29, 87, 261, 783
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,715,789,783,819, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
715:5x 11x 13
789:3x 263
783:3x 3x 3x 29
819:3x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 13x 13 = 41067
Therefore, the value for common factors is 41067.
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 = 42326715646215/(1x41067)
LCM = 42326715646215/41067
LCM = 1030674645
Thus, we can understand that the LCM of 117,715,789,783,819 is 1030674645.
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FAQs on LCM of 117, 715, 789, 783, 819
1. What is the LCM of 117, 715, 789, 783, 819?
Answer: LCM of 117, 715, 789, 783, 819 is 1030674645.
2. How to calculate the LCM of 117, 715, 789, 783, 819?
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 117, 715, 789, 783, 819.
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}.