LCM of 791, 517, 748, 772, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 791, 517, 748, 772, 909 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 791, 517, 748, 772, 909. So, keep reading to learn more.
Given numbers are 791,517,748,772,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,517,748,772,909 is 4878621569052.
Find LCM of 791,517,748,772,909 with Prime Factorization
| 2 | 791, 517, 748, 772, 909 |
| 2 | 791, 517, 374, 386, 909 |
| 11 | 791, 517, 187, 193, 909 |
| 791, 47, 17, 193, 909 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 791 x 47 x 17 x 193 x 909 = 4878621569052
Therefore, the lowest common multiple of 791,517,748,772,909 is 4878621569052.
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.
791 x 517 x 748 x 772 x 909 = 214659349038288
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.
791 : 1, 7, 113, 791
517 : 1, 11, 47, 517
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
772 : 1, 2, 4, 193, 386, 772
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,517,748,772,909, is 1.
Now, the common factors can be found like this.
791:7x 113
517:11x 47
748:2x 2x 11x 17
772:2x 2x 193
909:3x 3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 11 = 44
Therefore, the value for common factors is 44.
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 = 214659349038288/(1x44)
LCM = 214659349038288/44
LCM = 4878621569052
Thus, we can understand that the LCM of 791,517,748,772,909 is 4878621569052.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 791, 517, 748, 772, 909
1. What is the LCM of 791, 517, 748, 772, 909?
Answer: LCM of 791, 517, 748, 772, 909 is 4878621569052.
2. How to calculate the LCM of 791, 517, 748, 772, 909?
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 791, 517, 748, 772, 909.
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}.