LCM of 871, 962, 507, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 962, 507, 286 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, 962, 507, 286. So, keep reading to learn more.
Given numbers are 871,962,507,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,962,507,286 is 27650766.
Find LCM of 871,962,507,286 with Prime Factorization
| 2 | 871, 962, 507, 286 |
| 13 | 871, 481, 507, 143 |
| 67, 37, 39, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 67 x 37 x 39 x 11 = 27650766
Therefore, the lowest common multiple of 871,962,507,286 is 27650766.
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 962 x 507 x 286 = 121497465804
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
962 : 1, 2, 13, 26, 37, 74, 481, 962
507 : 1, 3, 13, 39, 169, 507
286 : 1, 2, 11, 13, 22, 26, 143, 286
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,962,507,286, is 13.
Now, the common factors can be found like this.
871:13x 67
962:2x 13x 37
507:3x 13x 13
286:2x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 121497465804/(13x338)
LCM = 121497465804/4394
LCM = 27650766
Thus, we can understand that the LCM of 871,962,507,286 is 27650766.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 871, 962, 507, 286
1. What is the LCM of 871, 962, 507, 286?
Answer: LCM of 871, 962, 507, 286 is 27650766.
2. How to calculate the LCM of 871, 962, 507, 286?
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, 962, 507, 286.
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}.