Find the LCM of 323, 961, 798, 633, 372 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 323, 961, 798, 633, 372. So, keep reading to learn more.
Given numbers are 323,961,798,633,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,961,798,633,372 is 5501582772.
Find LCM of 323,961,798,633,372 with Prime Factorization
2 | 323, 961, 798, 633, 372 |
3 | 323, 961, 399, 633, 186 |
19 | 323, 961, 133, 211, 62 |
31 | 17, 961, 7, 211, 62 |
17, 31, 7, 211, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 31 x 17 x 31 x 7 x 211 x 2 = 5501582772
Therefore, the lowest common multiple of 323,961,798,633,372 is 5501582772.
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.
323 x 961 x 798 x 633 x 372 = 58327780548744
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.
323 : 1, 17, 19, 323
961 : 1, 31, 961
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
633 : 1, 3, 211, 633
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,961,798,633,372, is 1.
Now, the common factors can be found like this.
323:17x 19
961:31x 31
798:2x 3x 7x 19
633:3x 211
372:2x 2x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19x 31 = 10602
Therefore, the value for common factors is 10602.
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 = 58327780548744/(1x10602)
LCM = 58327780548744/10602
LCM = 5501582772
Thus, we can understand that the LCM of 323,961,798,633,372 is 5501582772.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 323, 961, 798, 633, 372?
Answer: LCM of 323, 961, 798, 633, 372 is 5501582772.
2. How to calculate the LCM of 323, 961, 798, 633, 372?
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 323, 961, 798, 633, 372.
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}.