Find the LCM of 586, 696, 825, 836, 355 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 586, 696, 825, 836, 355. So, keep reading to learn more.
Given numbers are 586,696,825,836,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,696,825,836,355 is 75652189800.
Find LCM of 586,696,825,836,355 with Prime Factorization
2 | 586, 696, 825, 836, 355 |
2 | 293, 348, 825, 418, 355 |
3 | 293, 174, 825, 209, 355 |
5 | 293, 58, 275, 209, 355 |
11 | 293, 58, 55, 209, 71 |
293, 58, 5, 19, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 293 x 58 x 5 x 19 x 71 = 75652189800
Therefore, the lowest common multiple of 586,696,825,836,355 is 75652189800.
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.
586 x 696 x 825 x 836 x 355 = 99860890536000
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.
586 : 1, 2, 293, 586
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,696,825,836,355, is 1.
Now, the common factors can be found like this.
586:2x 293
696:2x 2x 2x 3x 29
825:3x 5x 5x 11
836:2x 2x 11x 19
355:5x 71
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 5x 11 = 1320
Therefore, the value for common factors is 1320.
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 = 99860890536000/(1x1320)
LCM = 99860890536000/1320
LCM = 75652189800
Thus, we can understand that the LCM of 586,696,825,836,355 is 75652189800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 586, 696, 825, 836, 355?
Answer: LCM of 586, 696, 825, 836, 355 is 75652189800.
2. How to calculate the LCM of 586, 696, 825, 836, 355?
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 586, 696, 825, 836, 355.
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}.