Find the LCM of 451, 205, 323 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 451, 205, 323. So, keep reading to learn more.
Given numbers are 451,205,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,205,323 is 728365.
Find LCM of 451,205,323 with Prime Factorization
41 | 451, 205, 323 |
11, 5, 323 |
Multiply the prime numbers at the bottom and the left side.
41 x 11 x 5 x 323 = 728365
Therefore, the lowest common multiple of 451,205,323 is 728365.
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.
451 x 205 x 323 = 29862965
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.
451 : 1, 11, 41, 451
205 : 1, 5, 41, 205
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,205,323, is 1.
Now, the common factors can be found like this.
451:11x 41
205:5x 41
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
41 = 41
Therefore, the value for common factors is 41.
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 = 29862965/(1x41)
LCM = 29862965/41
LCM = 728365
Thus, we can understand that the LCM of 451,205,323 is 728365.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 451, 205, 323?
Answer: LCM of 451, 205, 323 is 728365.
2. How to calculate the LCM of 451, 205, 323?
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 451, 205, 323.
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}.