Find the LCM of 116, 538, 269 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, 538, 269. So, keep reading to learn more.
Given numbers are 116,538,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,538,269 is 31204.
Find LCM of 116,538,269 with Prime Factorization
2 | 116, 538, 269 |
269 | 58, 269, 269 |
58, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 269 x 58 x 1 x 1 = 31204
Therefore, the lowest common multiple of 116,538,269 is 31204.
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 538 x 269 = 16787752
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
538 : 1, 2, 269, 538
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,538,269, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
538:2x 269
269:269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 269 = 538
Therefore, the value for common factors is 538.
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 = 16787752/(1x538)
LCM = 16787752/538
LCM = 31204
Thus, we can understand that the LCM of 116,538,269 is 31204.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 116, 538, 269?
Answer: LCM of 116, 538, 269 is 31204.
2. How to calculate the LCM of 116, 538, 269?
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, 538, 269.
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}.