Find the LCM of 828, 374, 612, 180, 819 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 828, 374, 612, 180, 819. So, keep reading to learn more.
Given numbers are 828,374,612,180,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,374,612,180,819 is 70450380.
Find LCM of 828,374,612,180,819 with Prime Factorization
2 | 828, 374, 612, 180, 819 |
2 | 414, 187, 306, 90, 819 |
3 | 207, 187, 153, 45, 819 |
3 | 69, 187, 51, 15, 273 |
17 | 23, 187, 17, 5, 91 |
23, 11, 1, 5, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 23 x 11 x 1 x 5 x 91 = 70450380
Therefore, the lowest common multiple of 828,374,612,180,819 is 70450380.
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.
828 x 374 x 612 x 180 x 819 = 27938929898880
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
374 : 1, 2, 11, 17, 22, 34, 187, 374
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,374,612,180,819, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
374:2x 11x 17
612:2x 2x 3x 3x 17
180:2x 2x 3x 3x 5
819:3x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 3x 3x 3x 3x 3x 17 = 396576
Therefore, the value for common factors is 396576.
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 = 27938929898880/(1x396576)
LCM = 27938929898880/396576
LCM = 70450380
Thus, we can understand that the LCM of 828,374,612,180,819 is 70450380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 828, 374, 612, 180, 819?
Answer: LCM of 828, 374, 612, 180, 819 is 70450380.
2. How to calculate the LCM of 828, 374, 612, 180, 819?
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 828, 374, 612, 180, 819.
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}.