Find the LCM of 586, 526, 526, 482 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, 526, 526, 482. So, keep reading to learn more.
Given numbers are 586,526,526,482
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,526,526,482 is 37142438.
Find LCM of 586,526,526,482 with Prime Factorization
2 | 586, 526, 526, 482 |
263 | 293, 263, 263, 241 |
293, 1, 1, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 263 x 293 x 1 x 1 x 241 = 37142438
Therefore, the lowest common multiple of 586,526,526,482 is 37142438.
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 526 x 526 x 482 = 78147689552
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
526 : 1, 2, 263, 526
526 : 1, 2, 263, 526
482 : 1, 2, 241, 482
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,526,526,482, is 2.
Now, the common factors can be found like this.
586:2x 293
526:2x 263
526:2x 263
482:2x 241
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 263 = 1052
Therefore, the value for common factors is 1052.
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 = 78147689552/(2x1052)
LCM = 78147689552/2104
LCM = 37142438
Thus, we can understand that the LCM of 586,526,526,482 is 37142438.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 586, 526, 526, 482?
Answer: LCM of 586, 526, 526, 482 is 37142438.
2. How to calculate the LCM of 586, 526, 526, 482?
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, 526, 526, 482.
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}.