Find the LCM of 459, 538, 775, 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 459, 538, 775, 269. So, keep reading to learn more.
Given numbers are 459,538,775,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,538,775,269 is 191380050.
Find LCM of 459,538,775,269 with Prime Factorization
269 | 459, 538, 775, 269 |
459, 2, 775, 1 |
Multiply the prime numbers at the bottom and the left side.
269 x 459 x 2 x 775 x 1 = 191380050
Therefore, the lowest common multiple of 459,538,775,269 is 191380050.
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.
459 x 538 x 775 x 269 = 51481233450
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
538 : 1, 2, 269, 538
775 : 1, 5, 25, 31, 155, 775
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,538,775,269, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
538:2x 269
775:5x 5x 31
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.
269 = 269
Therefore, the value for common factors is 269.
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 = 51481233450/(1x269)
LCM = 51481233450/269
LCM = 191380050
Thus, we can understand that the LCM of 459,538,775,269 is 191380050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 459, 538, 775, 269?
Answer: LCM of 459, 538, 775, 269 is 191380050.
2. How to calculate the LCM of 459, 538, 775, 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 459, 538, 775, 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}.