Find the LCM of 463, 677, 345, 969, 849 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 463, 677, 345, 969, 849. So, keep reading to learn more.
Given numbers are 463,677,345,969,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,677,345,969,849 is 9885023648355.
Find LCM of 463,677,345,969,849 with Prime Factorization
3 | 463, 677, 345, 969, 849 |
463, 677, 115, 323, 283 |
Multiply the prime numbers at the bottom and the left side.
3 x 463 x 677 x 115 x 323 x 283 = 9885023648355
Therefore, the lowest common multiple of 463,677,345,969,849 is 9885023648355.
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.
463 x 677 x 345 x 969 x 849 = 88965212835195
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.
463 : 1, 463
677 : 1, 677
345 : 1, 3, 5, 15, 23, 69, 115, 345
969 : 1, 3, 17, 19, 51, 57, 323, 969
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,677,345,969,849, is 1.
Now, the common factors can be found like this.
463:463
677:677
345:3x 5x 23
969:3x 17x 19
849:3x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 88965212835195/(1x9)
LCM = 88965212835195/9
LCM = 9885023648355
Thus, we can understand that the LCM of 463,677,345,969,849 is 9885023648355.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 677, 345, 969, 849?
Answer: LCM of 463, 677, 345, 969, 849 is 9885023648355.
2. How to calculate the LCM of 463, 677, 345, 969, 849?
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 463, 677, 345, 969, 849.
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}.