Find the LCM of 185, 904, 819, 543, 908 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 185, 904, 819, 543, 908. So, keep reading to learn more.
Given numbers are 185,904,819,543,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 185,904,819,543,908 is 5627668311720.
Find LCM of 185,904,819,543,908 with Prime Factorization
2 | 185, 904, 819, 543, 908 |
2 | 185, 452, 819, 543, 454 |
3 | 185, 226, 819, 543, 227 |
185, 226, 273, 181, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 185 x 226 x 273 x 181 x 227 = 5627668311720
Therefore, the lowest common multiple of 185,904,819,543,908 is 5627668311720.
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.
185 x 904 x 819 x 543 x 908 = 67532019740640
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.
185 : 1, 5, 37, 185
904 : 1, 2, 4, 8, 113, 226, 452, 904
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
543 : 1, 3, 181, 543
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,904,819,543,908, is 1.
Now, the common factors can be found like this.
185:5x 37
904:2x 2x 2x 113
819:3x 3x 7x 13
543:3x 181
908:2x 2x 227
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 3 = 12
Therefore, the value for common factors is 12.
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 = 67532019740640/(1x12)
LCM = 67532019740640/12
LCM = 5627668311720
Thus, we can understand that the LCM of 185,904,819,543,908 is 5627668311720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 185, 904, 819, 543, 908?
Answer: LCM of 185, 904, 819, 543, 908 is 5627668311720.
2. How to calculate the LCM of 185, 904, 819, 543, 908?
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 185, 904, 819, 543, 908.
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}.