Find the LCM of 874, 693, 904, 726, 738 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 874, 693, 904, 726, 738. So, keep reading to learn more.
Given numbers are 874,693,904,726,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,693,904,726,738 is 123469487064.
Find LCM of 874,693,904,726,738 with Prime Factorization
2 | 874, 693, 904, 726, 738 |
3 | 437, 693, 452, 363, 369 |
3 | 437, 231, 452, 121, 123 |
11 | 437, 77, 452, 121, 41 |
437, 7, 452, 11, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 437 x 7 x 452 x 11 x 41 = 123469487064
Therefore, the lowest common multiple of 874,693,904,726,738 is 123469487064.
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.
874 x 693 x 904 x 726 x 738 = 293363501264064
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
904 : 1, 2, 4, 8, 113, 226, 452, 904
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,693,904,726,738, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
693:3x 3x 7x 11
904:2x 2x 2x 113
726:2x 3x 11x 11
738:2x 3x 3x 41
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 3x 3x 3x 11 = 2376
Therefore, the value for common factors is 2376.
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 = 293363501264064/(1x2376)
LCM = 293363501264064/2376
LCM = 123469487064
Thus, we can understand that the LCM of 874,693,904,726,738 is 123469487064.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 874, 693, 904, 726, 738?
Answer: LCM of 874, 693, 904, 726, 738 is 123469487064.
2. How to calculate the LCM of 874, 693, 904, 726, 738?
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 874, 693, 904, 726, 738.
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}.