Find the LCM of 394, 884, 987, 517, 374 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 394, 884, 987, 517, 374. So, keep reading to learn more.
Given numbers are 394,884,987,517,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,884,987,517,374 is 1890724836.
Find LCM of 394,884,987,517,374 with Prime Factorization
2 | 394, 884, 987, 517, 374 |
11 | 197, 442, 987, 517, 187 |
17 | 197, 442, 987, 47, 17 |
47 | 197, 26, 987, 47, 1 |
197, 26, 21, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 47 x 197 x 26 x 21 x 1 x 1 = 1890724836
Therefore, the lowest common multiple of 394,884,987,517,374 is 1890724836.
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.
394 x 884 x 987 x 517 x 374 = 66470322334416
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.
394 : 1, 2, 197, 394
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
987 : 1, 3, 7, 21, 47, 141, 329, 987
517 : 1, 11, 47, 517
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,884,987,517,374, is 1.
Now, the common factors can be found like this.
394:2x 197
884:2x 2x 13x 17
987:3x 7x 47
517:11x 47
374:2x 11x 17
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 11x 17x 47 = 35156
Therefore, the value for common factors is 35156.
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 = 66470322334416/(1x35156)
LCM = 66470322334416/35156
LCM = 1890724836
Thus, we can understand that the LCM of 394,884,987,517,374 is 1890724836.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 394, 884, 987, 517, 374?
Answer: LCM of 394, 884, 987, 517, 374 is 1890724836.
2. How to calculate the LCM of 394, 884, 987, 517, 374?
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 394, 884, 987, 517, 374.
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}.