LCM of 871, 426, 836, 880, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 426, 836, 880, 399 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, 426, 836, 880, 399. So, keep reading to learn more.
Given numbers are 871,426,836,880,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,426,836,880,399 is 21713611920.
Find LCM of 871,426,836,880,399 with Prime Factorization
| 2 | 871, 426, 836, 880, 399 |
| 2 | 871, 213, 418, 440, 399 |
| 3 | 871, 213, 209, 220, 399 |
| 11 | 871, 71, 209, 220, 133 |
| 19 | 871, 71, 19, 20, 133 |
| 871, 71, 1, 20, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 871 x 71 x 1 x 20 x 7 = 21713611920
Therefore, the lowest common multiple of 871,426,836,880,399 is 21713611920.
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 426 x 836 x 880 x 399 = 108915477390720
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
426 : 1, 2, 3, 6, 71, 142, 213, 426
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,426,836,880,399, is 1.
Now, the common factors can be found like this.
871:13x 67
426:2x 3x 71
836:2x 2x 11x 19
880:2x 2x 2x 2x 5x 11
399:3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 11x 19 = 5016
Therefore, the value for common factors is 5016.
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 = 108915477390720/(1x5016)
LCM = 108915477390720/5016
LCM = 21713611920
Thus, we can understand that the LCM of 871,426,836,880,399 is 21713611920.
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FAQs on LCM of 871, 426, 836, 880, 399
1. What is the LCM of 871, 426, 836, 880, 399?
Answer: LCM of 871, 426, 836, 880, 399 is 21713611920.
2. How to calculate the LCM of 871, 426, 836, 880, 399?
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, 426, 836, 880, 399.
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}.