Find the LCM of 382, 623, 539, 880, 904 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 382, 623, 539, 880, 904. So, keep reading to learn more.
Given numbers are 382,623,539,880,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,623,539,880,904 is 82828647440.
Find LCM of 382,623,539,880,904 with Prime Factorization
2 | 382, 623, 539, 880, 904 |
2 | 191, 623, 539, 440, 452 |
2 | 191, 623, 539, 220, 226 |
7 | 191, 623, 539, 110, 113 |
11 | 191, 89, 77, 110, 113 |
191, 89, 7, 10, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 191 x 89 x 7 x 10 x 113 = 82828647440
Therefore, the lowest common multiple of 382,623,539,880,904 is 82828647440.
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.
382 x 623 x 539 x 880 x 904 = 102044893646080
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.
382 : 1, 2, 191, 382
623 : 1, 7, 89, 623
539 : 1, 7, 11, 49, 77, 539
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,623,539,880,904, is 1.
Now, the common factors can be found like this.
382:2x 191
623:7x 89
539:7x 7x 11
880:2x 2x 2x 2x 5x 11
904:2x 2x 2x 113
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 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 102044893646080/(1x1232)
LCM = 102044893646080/1232
LCM = 82828647440
Thus, we can understand that the LCM of 382,623,539,880,904 is 82828647440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 382, 623, 539, 880, 904?
Answer: LCM of 382, 623, 539, 880, 904 is 82828647440.
2. How to calculate the LCM of 382, 623, 539, 880, 904?
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 382, 623, 539, 880, 904.
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}.