Find the LCM of 798, 923, 533, 328, 309 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 798, 923, 533, 328, 309. So, keep reading to learn more.
Given numbers are 798,923,533,328,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,923,533,328,309 is 12441870168.
Find LCM of 798,923,533,328,309 with Prime Factorization
2 | 798, 923, 533, 328, 309 |
3 | 399, 923, 533, 164, 309 |
13 | 133, 923, 533, 164, 103 |
41 | 133, 71, 41, 164, 103 |
133, 71, 1, 4, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 41 x 133 x 71 x 1 x 4 x 103 = 12441870168
Therefore, the lowest common multiple of 798,923,533,328,309 is 12441870168.
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.
798 x 923 x 533 x 328 x 309 = 39789100797264
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
923 : 1, 13, 71, 923
533 : 1, 13, 41, 533
328 : 1, 2, 4, 8, 41, 82, 164, 328
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,923,533,328,309, is 1.
Now, the common factors can be found like this.
798:2x 3x 7x 19
923:13x 71
533:13x 41
328:2x 2x 2x 41
309:3x 103
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 13x 41 = 3198
Therefore, the value for common factors is 3198.
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 = 39789100797264/(1x3198)
LCM = 39789100797264/3198
LCM = 12441870168
Thus, we can understand that the LCM of 798,923,533,328,309 is 12441870168.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 798, 923, 533, 328, 309?
Answer: LCM of 798, 923, 533, 328, 309 is 12441870168.
2. How to calculate the LCM of 798, 923, 533, 328, 309?
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 798, 923, 533, 328, 309.
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}.