LCM of 765, 414, 693, 913, 911
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 414, 693, 913, 911 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 765, 414, 693, 913, 911. So, keep reading to learn more.
Given numbers are 765,414,693,913,911
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,414,693,913,911 is 204883253190.
Find LCM of 765,414,693,913,911 with Prime Factorization
| 3 | 765, 414, 693, 913, 911 |
| 3 | 255, 138, 231, 913, 911 |
| 11 | 85, 46, 77, 913, 911 |
| 85, 46, 7, 83, 911 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 85 x 46 x 7 x 83 x 911 = 204883253190
Therefore, the lowest common multiple of 765,414,693,913,911 is 204883253190.
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.
765 x 414 x 693 x 913 x 911 = 182550978592290
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
913 : 1, 11, 83, 913
911 : 1, 911
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,414,693,913,911, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
414:2x 3x 3x 23
693:3x 3x 7x 11
913:11x 83
911:911
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 11 = 891
Therefore, the value for common factors is 891.
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 = 182550978592290/(1x891)
LCM = 182550978592290/891
LCM = 204883253190
Thus, we can understand that the LCM of 765,414,693,913,911 is 204883253190.
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FAQs on LCM of 765, 414, 693, 913, 911
1. What is the LCM of 765, 414, 693, 913, 911?
Answer: LCM of 765, 414, 693, 913, 911 is 204883253190.
2. How to calculate the LCM of 765, 414, 693, 913, 911?
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 765, 414, 693, 913, 911.
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}.