Find the LCM of 515, 418, 914, 904, 741 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 515, 418, 914, 904, 741. So, keep reading to learn more.
Given numbers are 515,418,914,904,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,418,914,904,741 is 1734214258920.
Find LCM of 515,418,914,904,741 with Prime Factorization
2 | 515, 418, 914, 904, 741 |
19 | 515, 209, 457, 452, 741 |
515, 11, 457, 452, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 515 x 11 x 457 x 452 x 39 = 1734214258920
Therefore, the lowest common multiple of 515,418,914,904,741 is 1734214258920.
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.
515 x 418 x 914 x 904 x 741 = 131800283677920
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.
515 : 1, 5, 103, 515
418 : 1, 2, 11, 19, 22, 38, 209, 418
914 : 1, 2, 457, 914
904 : 1, 2, 4, 8, 113, 226, 452, 904
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,418,914,904,741, is 1.
Now, the common factors can be found like this.
515:5x 103
418:2x 11x 19
914:2x 457
904:2x 2x 2x 113
741:3x 13x 19
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 19 = 76
Therefore, the value for common factors is 76.
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 = 131800283677920/(1x76)
LCM = 131800283677920/76
LCM = 1734214258920
Thus, we can understand that the LCM of 515,418,914,904,741 is 1734214258920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 515, 418, 914, 904, 741?
Answer: LCM of 515, 418, 914, 904, 741 is 1734214258920.
2. How to calculate the LCM of 515, 418, 914, 904, 741?
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 515, 418, 914, 904, 741.
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}.