LCM of 871, 781, 275, 810, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 781, 275, 810, 459 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 871, 781, 275, 810, 459. So, keep reading to learn more.
Given numbers are 871,781,275,810,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,781,275,810,459 is 46835281350.
Find LCM of 871,781,275,810,459 with Prime Factorization
| 3 | 871, 781, 275, 810, 459 |
| 3 | 871, 781, 275, 270, 153 |
| 3 | 871, 781, 275, 90, 51 |
| 5 | 871, 781, 275, 30, 17 |
| 11 | 871, 781, 55, 6, 17 |
| 871, 71, 5, 6, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 11 x 871 x 71 x 5 x 6 x 17 = 46835281350
Therefore, the lowest common multiple of 871,781,275,810,459 is 46835281350.
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.
871 x 781 x 275 x 810 x 459 = 69550392804750
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.
871 : 1, 13, 67, 871
781 : 1, 11, 71, 781
275 : 1, 5, 11, 25, 55, 275
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,781,275,810,459, is 1.
Now, the common factors can be found like this.
871:13x 67
781:11x 71
275:5x 5x 11
810:2x 3x 3x 3x 3x 5
459:3x 3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 11 = 1485
Therefore, the value for common factors is 1485.
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 = 69550392804750/(1x1485)
LCM = 69550392804750/1485
LCM = 46835281350
Thus, we can understand that the LCM of 871,781,275,810,459 is 46835281350.
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FAQs on LCM of 871, 781, 275, 810, 459
1. What is the LCM of 871, 781, 275, 810, 459?
Answer: LCM of 871, 781, 275, 810, 459 is 46835281350.
2. How to calculate the LCM of 871, 781, 275, 810, 459?
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 871, 781, 275, 810, 459.
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}.