LCM of 913, 986, 459, 198, 935
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 986, 459, 198, 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 913, 986, 459, 198, 935. So, keep reading to learn more.
Given numbers are 913,986,459,198,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,986,459,198,935 is 121529430.
Find LCM of 913,986,459,198,935 with Prime Factorization
| 2 | 913, 986, 459, 198, 935 |
| 3 | 913, 493, 459, 99, 935 |
| 3 | 913, 493, 153, 33, 935 |
| 11 | 913, 493, 51, 11, 935 |
| 17 | 83, 493, 51, 1, 85 |
| 83, 29, 3, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 17 x 83 x 29 x 3 x 1 x 5 = 121529430
Therefore, the lowest common multiple of 913,986,459,198,935 is 121529430.
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.
913 x 986 x 459 x 198 x 935 = 76495727478060
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.
913 : 1, 11, 83, 913
986 : 1, 2, 17, 29, 34, 58, 493, 986
459 : 1, 3, 9, 17, 27, 51, 153, 459
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
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 913,986,459,198,935, is 1.
Now, the common factors can be found like this.
913:11x 83
986:2x 17x 29
459:3x 3x 3x 17
198:2x 3x 3x 11
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 3x 11x 11x 17x 17 = 629442
Therefore, the value for common factors is 629442.
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 = 76495727478060/(1x629442)
LCM = 76495727478060/629442
LCM = 121529430
Thus, we can understand that the LCM of 913,986,459,198,935 is 121529430.
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FAQs on LCM of 913, 986, 459, 198, 935
1. What is the LCM of 913, 986, 459, 198, 935?
Answer: LCM of 913, 986, 459, 198, 935 is 121529430.
2. How to calculate the LCM of 913, 986, 459, 198, 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 913, 986, 459, 198, 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}.