Find the LCM of 825, 993, 803, 796, 746 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 825, 993, 803, 796, 746. So, keep reading to learn more.
Given numbers are 825,993,803,796,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,993,803,796,746 is 5918705103300.
Find LCM of 825,993,803,796,746 with Prime Factorization
2 | 825, 993, 803, 796, 746 |
3 | 825, 993, 803, 398, 373 |
11 | 275, 331, 803, 398, 373 |
25, 331, 73, 398, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 25 x 331 x 73 x 398 x 373 = 5918705103300
Therefore, the lowest common multiple of 825,993,803,796,746 is 5918705103300.
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.
825 x 993 x 803 x 796 x 746 = 390634536817800
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
993 : 1, 3, 331, 993
803 : 1, 11, 73, 803
796 : 1, 2, 4, 199, 398, 796
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,993,803,796,746, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
993:3x 331
803:11x 73
796:2x 2x 199
746:2x 373
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 390634536817800/(1x66)
LCM = 390634536817800/66
LCM = 5918705103300
Thus, we can understand that the LCM of 825,993,803,796,746 is 5918705103300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 825, 993, 803, 796, 746?
Answer: LCM of 825, 993, 803, 796, 746 is 5918705103300.
2. How to calculate the LCM of 825, 993, 803, 796, 746?
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 825, 993, 803, 796, 746.
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}.