LCM of 935, 645, 952, 581, 259
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 645, 952, 581, 259 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 935, 645, 952, 581, 259. So, keep reading to learn more.
Given numbers are 935,645,952,581,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,645,952,581,259 is 20742885240.
Find LCM of 935,645,952,581,259 with Prime Factorization
| 5 | 935, 645, 952, 581, 259 |
| 7 | 187, 129, 952, 581, 259 |
| 17 | 187, 129, 136, 83, 37 |
| 11, 129, 8, 83, 37 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 17 x 11 x 129 x 8 x 83 x 37 = 20742885240
Therefore, the lowest common multiple of 935,645,952,581,259 is 20742885240.
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.
935 x 645 x 952 x 581 x 259 = 86394117024600
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
645 : 1, 3, 5, 15, 43, 129, 215, 645
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
581 : 1, 7, 83, 581
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,645,952,581,259, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
645:3x 5x 43
952:2x 2x 2x 7x 17
581:7x 83
259:7x 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 7x 7x 17 = 4165
Therefore, the value for common factors is 4165.
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 = 86394117024600/(1x4165)
LCM = 86394117024600/4165
LCM = 20742885240
Thus, we can understand that the LCM of 935,645,952,581,259 is 20742885240.
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FAQs on LCM of 935, 645, 952, 581, 259
1. What is the LCM of 935, 645, 952, 581, 259?
Answer: LCM of 935, 645, 952, 581, 259 is 20742885240.
2. How to calculate the LCM of 935, 645, 952, 581, 259?
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 935, 645, 952, 581, 259.
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}.