LCM of 969, 507, 442, 760, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 507, 442, 760, 405 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 969, 507, 442, 760, 405. So, keep reading to learn more.
Given numbers are 969,507,442,760,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,507,442,760,405 is 176861880.
Find LCM of 969,507,442,760,405 with Prime Factorization
| 2 | 969, 507, 442, 760, 405 |
| 3 | 969, 507, 221, 380, 405 |
| 5 | 323, 169, 221, 380, 135 |
| 13 | 323, 169, 221, 76, 27 |
| 17 | 323, 13, 17, 76, 27 |
| 19 | 19, 13, 1, 76, 27 |
| 1, 13, 1, 4, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 17 x 19 x 1 x 13 x 1 x 4 x 27 = 176861880
Therefore, the lowest common multiple of 969,507,442,760,405 is 176861880.
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.
969 x 507 x 442 x 760 x 405 = 66837873070800
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
507 : 1, 3, 13, 39, 169, 507
442 : 1, 2, 13, 17, 26, 34, 221, 442
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,507,442,760,405, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
507:3x 13x 13
442:2x 13x 17
760:2x 2x 2x 5x 19
405:3x 3x 3x 3x 5
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 5x 13x 17x 19 = 377910
Therefore, the value for common factors is 377910.
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 = 66837873070800/(1x377910)
LCM = 66837873070800/377910
LCM = 176861880
Thus, we can understand that the LCM of 969,507,442,760,405 is 176861880.
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FAQs on LCM of 969, 507, 442, 760, 405
1. What is the LCM of 969, 507, 442, 760, 405?
Answer: LCM of 969, 507, 442, 760, 405 is 176861880.
2. How to calculate the LCM of 969, 507, 442, 760, 405?
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 969, 507, 442, 760, 405.
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}.