Find the LCM of 459, 429, 323, 779 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, 429, 323, 779. So, keep reading to learn more.
Given numbers are 459,429,323,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,429,323,779 is 51131223.
Find LCM of 459,429,323,779 with Prime Factorization
3 | 459, 429, 323, 779 |
17 | 153, 143, 323, 779 |
19 | 9, 143, 19, 779 |
9, 143, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 19 x 9 x 143 x 1 x 41 = 51131223
Therefore, the lowest common multiple of 459,429,323,779 is 51131223.
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 429 x 323 x 779 = 49546155087
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
429 : 1, 3, 11, 13, 33, 39, 143, 429
323 : 1, 17, 19, 323
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,429,323,779, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
429:3x 11x 13
323:17x 19
779:19x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 19 = 969
Therefore, the value for common factors is 969.
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 = 49546155087/(1x969)
LCM = 49546155087/969
LCM = 51131223
Thus, we can understand that the LCM of 459,429,323,779 is 51131223.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 459, 429, 323, 779?
Answer: LCM of 459, 429, 323, 779 is 51131223.
2. How to calculate the LCM of 459, 429, 323, 779?
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, 429, 323, 779.
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}.