LCM of 785, 729, 935, 629, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 729, 935, 629, 407 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 785, 729, 935, 629, 407. So, keep reading to learn more.
Given numbers are 785,729,935,629,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,729,935,629,407 is 3959501535.
Find LCM of 785,729,935,629,407 with Prime Factorization
| 5 | 785, 729, 935, 629, 407 |
| 11 | 157, 729, 187, 629, 407 |
| 17 | 157, 729, 17, 629, 37 |
| 37 | 157, 729, 1, 37, 37 |
| 157, 729, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 17 x 37 x 157 x 729 x 1 x 1 x 1 = 3959501535
Therefore, the lowest common multiple of 785,729,935,629,407 is 3959501535.
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.
785 x 729 x 935 x 629 x 407 = 136978955603325
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.
785 : 1, 5, 157, 785
729 : 1, 3, 9, 27, 81, 243, 729
935 : 1, 5, 11, 17, 55, 85, 187, 935
629 : 1, 17, 37, 629
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,729,935,629,407, is 1.
Now, the common factors can be found like this.
785:5x 157
729:3x 3x 3x 3x 3x 3
935:5x 11x 17
629:17x 37
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 17x 37 = 34595
Therefore, the value for common factors is 34595.
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 = 136978955603325/(1x34595)
LCM = 136978955603325/34595
LCM = 3959501535
Thus, we can understand that the LCM of 785,729,935,629,407 is 3959501535.
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FAQs on LCM of 785, 729, 935, 629, 407
1. What is the LCM of 785, 729, 935, 629, 407?
Answer: LCM of 785, 729, 935, 629, 407 is 3959501535.
2. How to calculate the LCM of 785, 729, 935, 629, 407?
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 785, 729, 935, 629, 407.
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}.