Find the LCM of 274, 758, 958, 959, 779 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 274, 758, 958, 959, 779. So, keep reading to learn more.
Given numbers are 274,758,958,959,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 274,758,958,959,779 is 271244402002.
Find LCM of 274,758,958,959,779 with Prime Factorization
2 | 274, 758, 958, 959, 779 |
137 | 137, 379, 479, 959, 779 |
1, 379, 479, 7, 779 |
Multiply the prime numbers at the bottom and the left side.
2 x 137 x 1 x 379 x 479 x 7 x 779 = 271244402002
Therefore, the lowest common multiple of 274,758,958,959,779 is 271244402002.
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.
274 x 758 x 958 x 959 x 779 = 148641932297096
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.
274 : 1, 2, 137, 274
758 : 1, 2, 379, 758
958 : 1, 2, 479, 958
959 : 1, 7, 137, 959
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,758,958,959,779, is 1.
Now, the common factors can be found like this.
274:2x 137
758:2x 379
958:2x 479
959:7x 137
779:19x 41
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 137 = 548
Therefore, the value for common factors is 548.
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 = 148641932297096/(1x548)
LCM = 148641932297096/548
LCM = 271244402002
Thus, we can understand that the LCM of 274,758,958,959,779 is 271244402002.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 274, 758, 958, 959, 779?
Answer: LCM of 274, 758, 958, 959, 779 is 271244402002.
2. How to calculate the LCM of 274, 758, 958, 959, 779?
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 274, 758, 958, 959, 779.
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}.