Find the LCM of 494, 403, 527, 529, 579 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 494, 403, 527, 529, 579. So, keep reading to learn more.
Given numbers are 494,403,527,529,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,403,527,529,579 is 79739186358.
Find LCM of 494,403,527,529,579 with Prime Factorization
13 | 494, 403, 527, 529, 579 |
31 | 38, 31, 527, 529, 579 |
38, 1, 17, 529, 579 |
Multiply the prime numbers at the bottom and the left side.
13 x 31 x 38 x 1 x 17 x 529 x 579 = 79739186358
Therefore, the lowest common multiple of 494,403,527,529,579 is 79739186358.
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.
494 x 403 x 527 x 529 x 579 = 32134892102274
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
403 : 1, 13, 31, 403
527 : 1, 17, 31, 527
529 : 1, 23, 529
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,403,527,529,579, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
403:13x 31
527:17x 31
529:23x 23
579:3x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 31 = 403
Therefore, the value for common factors is 403.
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 = 32134892102274/(1x403)
LCM = 32134892102274/403
LCM = 79739186358
Thus, we can understand that the LCM of 494,403,527,529,579 is 79739186358.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 403, 527, 529, 579?
Answer: LCM of 494, 403, 527, 529, 579 is 79739186358.
2. How to calculate the LCM of 494, 403, 527, 529, 579?
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 494, 403, 527, 529, 579.
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}.