Find the LCM of 825, 890, 772, 702, 981 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, 890, 772, 702, 981. So, keep reading to learn more.
Given numbers are 825,890,772,702,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,890,772,702,981 is 722892327300.
Find LCM of 825,890,772,702,981 with Prime Factorization
2 | 825, 890, 772, 702, 981 |
3 | 825, 445, 386, 351, 981 |
3 | 275, 445, 386, 117, 327 |
5 | 275, 445, 386, 39, 109 |
55, 89, 386, 39, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 55 x 89 x 386 x 39 x 109 = 722892327300
Therefore, the lowest common multiple of 825,890,772,702,981 is 722892327300.
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 890 x 772 x 702 x 981 = 390361856742000
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
890 : 1, 2, 5, 10, 89, 178, 445, 890
772 : 1, 2, 4, 193, 386, 772
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,890,772,702,981, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
890:2x 5x 89
772:2x 2x 193
702:2x 3x 3x 3x 13
981:3x 3x 109
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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 390361856742000/(1x540)
LCM = 390361856742000/540
LCM = 722892327300
Thus, we can understand that the LCM of 825,890,772,702,981 is 722892327300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 825, 890, 772, 702, 981?
Answer: LCM of 825, 890, 772, 702, 981 is 722892327300.
2. How to calculate the LCM of 825, 890, 772, 702, 981?
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, 890, 772, 702, 981.
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}.