Find the LCM of 469, 268, 379, 449 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 469, 268, 379, 449. So, keep reading to learn more.
Given numbers are 469,268,379,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,268,379,449 is 319240796.
Find LCM of 469,268,379,449 with Prime Factorization
67 | 469, 268, 379, 449 |
7, 4, 379, 449 |
Multiply the prime numbers at the bottom and the left side.
67 x 7 x 4 x 379 x 449 = 319240796
Therefore, the lowest common multiple of 469,268,379,449 is 319240796.
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.
469 x 268 x 379 x 449 = 21389133332
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.
469 : 1, 7, 67, 469
268 : 1, 2, 4, 67, 134, 268
379 : 1, 379
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,268,379,449, is 1.
Now, the common factors can be found like this.
469:7x 67
268:2x 2x 67
379:379
449:449
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
67 = 67
Therefore, the value for common factors is 67.
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 = 21389133332/(1x67)
LCM = 21389133332/67
LCM = 319240796
Thus, we can understand that the LCM of 469,268,379,449 is 319240796.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 469, 268, 379, 449?
Answer: LCM of 469, 268, 379, 449 is 319240796.
2. How to calculate the LCM of 469, 268, 379, 449?
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 469, 268, 379, 449.
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}.