LCM of 405, 791, 393, 617
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 791, 393, 617 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 405, 791, 393, 617. So, keep reading to learn more.
Given numbers are 405,791,393,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,791,393,617 is 25893333585.
Find LCM of 405,791,393,617 with Prime Factorization
| 3 | 405, 791, 393, 617 |
| 135, 791, 131, 617 |
Multiply the prime numbers at the bottom and the left side.
3 x 135 x 791 x 131 x 617 = 25893333585
Therefore, the lowest common multiple of 405,791,393,617 is 25893333585.
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.
405 x 791 x 393 x 617 = 77680000755
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
791 : 1, 7, 113, 791
393 : 1, 3, 131, 393
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,791,393,617, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
791:7x 113
393:3x 131
617:617
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 77680000755/(1x3)
LCM = 77680000755/3
LCM = 25893333585
Thus, we can understand that the LCM of 405,791,393,617 is 25893333585.
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FAQs on LCM of 405, 791, 393, 617
1. What is the LCM of 405, 791, 393, 617?
Answer: LCM of 405, 791, 393, 617 is 25893333585.
2. How to calculate the LCM of 405, 791, 393, 617?
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 405, 791, 393, 617.
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}.