Find the LCM of 116, 386, 394, 965 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 116, 386, 394, 965. So, keep reading to learn more.
Given numbers are 116,386,394,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,386,394,965 is 22052180.
Find LCM of 116,386,394,965 with Prime Factorization
2 | 116, 386, 394, 965 |
193 | 58, 193, 197, 965 |
58, 1, 197, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 193 x 58 x 1 x 197 x 5 = 22052180
Therefore, the lowest common multiple of 116,386,394,965 is 22052180.
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.
116 x 386 x 394 x 965 = 17024282960
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.
116 : 1, 2, 4, 29, 58, 116
386 : 1, 2, 193, 386
394 : 1, 2, 197, 394
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,386,394,965, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
386:2x 193
394:2x 197
965:5x 193
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 193 = 772
Therefore, the value for common factors is 772.
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 = 17024282960/(1x772)
LCM = 17024282960/772
LCM = 22052180
Thus, we can understand that the LCM of 116,386,394,965 is 22052180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 116, 386, 394, 965?
Answer: LCM of 116, 386, 394, 965 is 22052180.
2. How to calculate the LCM of 116, 386, 394, 965?
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 116, 386, 394, 965.
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}.