Find the LCM of 869, 517, 517, 441 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 869, 517, 517, 441. So, keep reading to learn more.
Given numbers are 869,517,517,441
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,517,517,441 is 18011763.
Find LCM of 869,517,517,441 with Prime Factorization
11 | 869, 517, 517, 441 |
47 | 79, 47, 47, 441 |
79, 1, 1, 441 |
Multiply the prime numbers at the bottom and the left side.
11 x 47 x 79 x 1 x 1 x 441 = 18011763
Therefore, the lowest common multiple of 869,517,517,441 is 18011763.
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.
869 x 517 x 517 x 441 = 102432896181
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.
869 : 1, 11, 79, 869
517 : 1, 11, 47, 517
517 : 1, 11, 47, 517
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,517,517,441, is 1.
Now, the common factors can be found like this.
869:11x 79
517:11x 47
517:11x 47
441:3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 47 = 5687
Therefore, the value for common factors is 5687.
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 = 102432896181/(1x5687)
LCM = 102432896181/5687
LCM = 18011763
Thus, we can understand that the LCM of 869,517,517,441 is 18011763.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 869, 517, 517, 441?
Answer: LCM of 869, 517, 517, 441 is 18011763.
2. How to calculate the LCM of 869, 517, 517, 441?
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 869, 517, 517, 441.
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}.