Find the LCM of 303, 311, 869, 869, 446 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 303, 311, 869, 869, 446. So, keep reading to learn more.
Given numbers are 303,311,869,869,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,311,869,869,446 is 36522260742.
Find LCM of 303,311,869,869,446 with Prime Factorization
11 | 303, 311, 869, 869, 446 |
79 | 303, 311, 79, 79, 446 |
303, 311, 1, 1, 446 |
Multiply the prime numbers at the bottom and the left side.
11 x 79 x 303 x 311 x 1 x 1 x 446 = 36522260742
Therefore, the lowest common multiple of 303,311,869,869,446 is 36522260742.
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.
303 x 311 x 869 x 869 x 446 = 31737844584798
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.
303 : 1, 3, 101, 303
311 : 1, 311
869 : 1, 11, 79, 869
869 : 1, 11, 79, 869
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,311,869,869,446, is 1.
Now, the common factors can be found like this.
303:3x 101
311:311
869:11x 79
869:11x 79
446:2x 223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 79 = 869
Therefore, the value for common factors is 869.
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 = 31737844584798/(1x869)
LCM = 31737844584798/869
LCM = 36522260742
Thus, we can understand that the LCM of 303,311,869,869,446 is 36522260742.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 303, 311, 869, 869, 446?
Answer: LCM of 303, 311, 869, 869, 446 is 36522260742.
2. How to calculate the LCM of 303, 311, 869, 869, 446?
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 303, 311, 869, 869, 446.
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}.