Find the LCM of 586, 382, 950, 494, 404 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, 382, 950, 494, 404. So, keep reading to learn more.
Given numbers are 586,382,950,494,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,382,950,494,404 is 139610896100.
Find LCM of 586,382,950,494,404 with Prime Factorization
2 | 586, 382, 950, 494, 404 |
19 | 293, 191, 475, 247, 202 |
293, 191, 25, 13, 202 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 293 x 191 x 25 x 13 x 202 = 139610896100
Therefore, the lowest common multiple of 586,382,950,494,404 is 139610896100.
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 382 x 950 x 494 x 404 = 42441712414400
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
382 : 1, 2, 191, 382
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
494 : 1, 2, 13, 19, 26, 38, 247, 494
404 : 1, 2, 4, 101, 202, 404
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,382,950,494,404, is 2.
Now, the common factors can be found like this.
586:2x 293
382:2x 191
950:2x 5x 5x 19
494:2x 13x 19
404:2x 2x 101
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 19 = 152
Therefore, the value for common factors is 152.
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 = 42441712414400/(2x152)
LCM = 42441712414400/304
LCM = 139610896100
Thus, we can understand that the LCM of 586,382,950,494,404 is 139610896100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 586, 382, 950, 494, 404?
Answer: LCM of 586, 382, 950, 494, 404 is 139610896100.
2. How to calculate the LCM of 586, 382, 950, 494, 404?
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, 382, 950, 494, 404.
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}.