LCM of 469, 777, 501, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 777, 501, 871 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 469, 777, 501, 871. So, keep reading to learn more.
Given numbers are 469,777,501,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,777,501,871 is 113020089.
Find LCM of 469,777,501,871 with Prime Factorization
| 3 | 469, 777, 501, 871 |
| 7 | 469, 259, 167, 871 |
| 67 | 67, 37, 167, 871 |
| 1, 37, 167, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 67 x 1 x 37 x 167 x 13 = 113020089
Therefore, the lowest common multiple of 469,777,501,871 is 113020089.
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.
469 x 777 x 501 x 871 = 159019265223
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.
469 : 1, 7, 67, 469
777 : 1, 3, 7, 21, 37, 111, 259, 777
501 : 1, 3, 167, 501
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,777,501,871, is 1.
Now, the common factors can be found like this.
469:7x 67
777:3x 7x 37
501:3x 167
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 67 = 1407
Therefore, the value for common factors is 1407.
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 = 159019265223/(1x1407)
LCM = 159019265223/1407
LCM = 113020089
Thus, we can understand that the LCM of 469,777,501,871 is 113020089.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 469, 777, 501, 871
1. What is the LCM of 469, 777, 501, 871?
Answer: LCM of 469, 777, 501, 871 is 113020089.
2. How to calculate the LCM of 469, 777, 501, 871?
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 469, 777, 501, 871.
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}.