Find the LCM of 244, 446, 130, 949 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 244, 446, 130, 949. So, keep reading to learn more.
Given numbers are 244,446,130,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 244,446,130,949 is 258184940.
Find LCM of 244,446,130,949 with Prime Factorization
2 | 244, 446, 130, 949 |
13 | 122, 223, 65, 949 |
122, 223, 5, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 122 x 223 x 5 x 73 = 258184940
Therefore, the lowest common multiple of 244,446,130,949 is 258184940.
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.
244 x 446 x 130 x 949 = 13425616880
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.
244 : 1, 2, 4, 61, 122, 244
446 : 1, 2, 223, 446
130 : 1, 2, 5, 10, 13, 26, 65, 130
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 244,446,130,949, is 1.
Now, the common factors can be found like this.
244:2x 2x 61
446:2x 223
130:2x 5x 13
949:13x 73
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 13 = 52
Therefore, the value for common factors is 52.
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 = 13425616880/(1x52)
LCM = 13425616880/52
LCM = 258184940
Thus, we can understand that the LCM of 244,446,130,949 is 258184940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 244, 446, 130, 949?
Answer: LCM of 244, 446, 130, 949 is 258184940.
2. How to calculate the LCM of 244, 446, 130, 949?
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 244, 446, 130, 949.
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}.