LCM of 871, 696, 906, 812, 911
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 696, 906, 812, 911 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, 696, 906, 812, 911. So, keep reading to learn more.
Given numbers are 871,696,906,812,911
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,696,906,812,911 is 583741754232.
Find LCM of 871,696,906,812,911 with Prime Factorization
| 2 | 871, 696, 906, 812, 911 |
| 2 | 871, 348, 453, 406, 911 |
| 3 | 871, 174, 453, 203, 911 |
| 29 | 871, 58, 151, 203, 911 |
| 871, 2, 151, 7, 911 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 871 x 2 x 151 x 7 x 911 = 583741754232
Therefore, the lowest common multiple of 871,696,906,812,911 is 583741754232.
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 696 x 906 x 812 x 911 = 406284260945472
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
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
906 : 1, 2, 3, 6, 151, 302, 453, 906
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
911 : 1, 911
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,696,906,812,911, is 1.
Now, the common factors can be found like this.
871:13x 67
696:2x 2x 2x 3x 29
906:2x 3x 151
812:2x 2x 7x 29
911:911
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 29 = 696
Therefore, the value for common factors is 696.
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 = 406284260945472/(1x696)
LCM = 406284260945472/696
LCM = 583741754232
Thus, we can understand that the LCM of 871,696,906,812,911 is 583741754232.
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FAQs on LCM of 871, 696, 906, 812, 911
1. What is the LCM of 871, 696, 906, 812, 911?
Answer: LCM of 871, 696, 906, 812, 911 is 583741754232.
2. How to calculate the LCM of 871, 696, 906, 812, 911?
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, 696, 906, 812, 911.
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}.