Find the LCM of 461, 538, 239, 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 461, 538, 239, 269. So, keep reading to learn more.
Given numbers are 461,538,239,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,538,239,269 is 59276302.
Find LCM of 461,538,239,269 with Prime Factorization
269 | 461, 538, 239, 269 |
461, 2, 239, 1 |
Multiply the prime numbers at the bottom and the left side.
269 x 461 x 2 x 239 x 1 = 59276302
Therefore, the lowest common multiple of 461,538,239,269 is 59276302.
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.
461 x 538 x 239 x 269 = 15945325238
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.
461 : 1, 461
538 : 1, 2, 269, 538
239 : 1, 239
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,538,239,269, is 1.
Now, the common factors can be found like this.
461:461
538:2x 269
239:239
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 = 15945325238/(1x269)
LCM = 15945325238/269
LCM = 59276302
Thus, we can understand that the LCM of 461,538,239,269 is 59276302.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 461, 538, 239, 269?
Answer: LCM of 461, 538, 239, 269 is 59276302.
2. How to calculate the LCM of 461, 538, 239, 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 461, 538, 239, 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}.