LCM of 871, 468, 351, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 468, 351, 504 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, 468, 351, 504. So, keep reading to learn more.
Given numbers are 871,468,351,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,468,351,504 is 1316952.
Find LCM of 871,468,351,504 with Prime Factorization
| 2 | 871, 468, 351, 504 |
| 2 | 871, 234, 351, 252 |
| 3 | 871, 117, 351, 126 |
| 3 | 871, 39, 117, 42 |
| 13 | 871, 13, 39, 14 |
| 67, 1, 3, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 67 x 1 x 3 x 14 = 1316952
Therefore, the lowest common multiple of 871,468,351,504 is 1316952.
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 468 x 351 x 504 = 72111023712
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
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
351 : 1, 3, 9, 13, 27, 39, 117, 351
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,468,351,504, is 1.
Now, the common factors can be found like this.
871:13x 67
468:2x 2x 3x 3x 13
351:3x 3x 3x 13
504:2x 2x 2x 3x 3x 7
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 3x 3x 3x 3x 13x 13 = 54756
Therefore, the value for common factors is 54756.
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 = 72111023712/(1x54756)
LCM = 72111023712/54756
LCM = 1316952
Thus, we can understand that the LCM of 871,468,351,504 is 1316952.
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FAQs on LCM of 871, 468, 351, 504
1. What is the LCM of 871, 468, 351, 504?
Answer: LCM of 871, 468, 351, 504 is 1316952.
2. How to calculate the LCM of 871, 468, 351, 504?
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, 468, 351, 504.
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}.