LCM of 871, 315, 335, 211
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 315, 335, 211 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, 315, 335, 211. So, keep reading to learn more.
Given numbers are 871,315,335,211
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,315,335,211 is 57891015.
Find LCM of 871,315,335,211 with Prime Factorization
| 5 | 871, 315, 335, 211 |
| 67 | 871, 63, 67, 211 |
| 13, 63, 1, 211 |
Multiply the prime numbers at the bottom and the left side.
5 x 67 x 13 x 63 x 1 x 211 = 57891015
Therefore, the lowest common multiple of 871,315,335,211 is 57891015.
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 315 x 335 x 211 = 19393490025
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
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
335 : 1, 5, 67, 335
211 : 1, 211
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,315,335,211, is 1.
Now, the common factors can be found like this.
871:13x 67
315:3x 3x 5x 7
335:5x 67
211:211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 67 = 335
Therefore, the value for common factors is 335.
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 = 19393490025/(1x335)
LCM = 19393490025/335
LCM = 57891015
Thus, we can understand that the LCM of 871,315,335,211 is 57891015.
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FAQs on LCM of 871, 315, 335, 211
1. What is the LCM of 871, 315, 335, 211?
Answer: LCM of 871, 315, 335, 211 is 57891015.
2. How to calculate the LCM of 871, 315, 335, 211?
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, 315, 335, 211.
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}.