Find the LCM of 398, 527, 143, 792, 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 398, 527, 143, 792, 819. So, keep reading to learn more.
Given numbers are 398,527,143,792,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,527,143,792,819 is 7558406856.
Find LCM of 398,527,143,792,819 with Prime Factorization
2 | 398, 527, 143, 792, 819 |
3 | 199, 527, 143, 396, 819 |
3 | 199, 527, 143, 132, 273 |
11 | 199, 527, 143, 44, 91 |
13 | 199, 527, 13, 4, 91 |
199, 527, 1, 4, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 13 x 199 x 527 x 1 x 4 x 7 = 7558406856
Therefore, the lowest common multiple of 398,527,143,792,819 is 7558406856.
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.
398 x 527 x 143 x 792 x 819 = 19455339247344
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.
398 : 1, 2, 199, 398
527 : 1, 17, 31, 527
143 : 1, 11, 13, 143
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
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 398,527,143,792,819, is 1.
Now, the common factors can be found like this.
398:2x 199
527:17x 31
143:11x 13
792:2x 2x 2x 3x 3x 11
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 3x 3x 11x 13 = 2574
Therefore, the value for common factors is 2574.
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 = 19455339247344/(1x2574)
LCM = 19455339247344/2574
LCM = 7558406856
Thus, we can understand that the LCM of 398,527,143,792,819 is 7558406856.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 398, 527, 143, 792, 819?
Answer: LCM of 398, 527, 143, 792, 819 is 7558406856.
2. How to calculate the LCM of 398, 527, 143, 792, 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 398, 527, 143, 792, 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}.