Find the LCM of 774, 341, 988, 202, 447 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 774, 341, 988, 202, 447. So, keep reading to learn more.
Given numbers are 774,341,988,202,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,341,988,202,447 is 1962139726404.
Find LCM of 774,341,988,202,447 with Prime Factorization
2 | 774, 341, 988, 202, 447 |
3 | 387, 341, 494, 101, 447 |
129, 341, 494, 101, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 129 x 341 x 494 x 101 x 149 = 1962139726404
Therefore, the lowest common multiple of 774,341,988,202,447 is 1962139726404.
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.
774 x 341 x 988 x 202 x 447 = 23545676716848
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
341 : 1, 11, 31, 341
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
202 : 1, 2, 101, 202
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,341,988,202,447, is 1.
Now, the common factors can be found like this.
774:2x 3x 3x 43
341:11x 31
988:2x 2x 13x 19
202:2x 101
447:3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 23545676716848/(1x12)
LCM = 23545676716848/12
LCM = 1962139726404
Thus, we can understand that the LCM of 774,341,988,202,447 is 1962139726404.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 774, 341, 988, 202, 447?
Answer: LCM of 774, 341, 988, 202, 447 is 1962139726404.
2. How to calculate the LCM of 774, 341, 988, 202, 447?
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 774, 341, 988, 202, 447.
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}.