LCM of 726, 517, 340, 417, 935
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 517, 340, 417, 935 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 726, 517, 340, 417, 935. So, keep reading to learn more.
Given numbers are 726,517,340,417,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,517,340,417,935 is 806302860.
Find LCM of 726,517,340,417,935 with Prime Factorization
| 2 | 726, 517, 340, 417, 935 |
| 3 | 363, 517, 170, 417, 935 |
| 5 | 121, 517, 170, 139, 935 |
| 11 | 121, 517, 34, 139, 187 |
| 17 | 11, 47, 34, 139, 17 |
| 11, 47, 2, 139, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 17 x 11 x 47 x 2 x 139 x 1 = 806302860
Therefore, the lowest common multiple of 726,517,340,417,935 is 806302860.
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.
726 x 517 x 340 x 417 x 935 = 49756949490600
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
517 : 1, 11, 47, 517
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
417 : 1, 3, 139, 417
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,517,340,417,935, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
517:11x 47
340:2x 2x 5x 17
417:3x 139
935:5x 11x 17
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 5x 11x 11x 17 = 61710
Therefore, the value for common factors is 61710.
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 = 49756949490600/(1x61710)
LCM = 49756949490600/61710
LCM = 806302860
Thus, we can understand that the LCM of 726,517,340,417,935 is 806302860.
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FAQs on LCM of 726, 517, 340, 417, 935
1. What is the LCM of 726, 517, 340, 417, 935?
Answer: LCM of 726, 517, 340, 417, 935 is 806302860.
2. How to calculate the LCM of 726, 517, 340, 417, 935?
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 726, 517, 340, 417, 935.
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}.