Find the LCM of 241, 779, 723, 494, 333 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 241, 779, 723, 494, 333. So, keep reading to learn more.
Given numbers are 241,779,723,494,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 241,779,723,494,333 is 1625444262.
Find LCM of 241,779,723,494,333 with Prime Factorization
3 | 241, 779, 723, 494, 333 |
19 | 241, 779, 241, 494, 111 |
241 | 241, 41, 241, 26, 111 |
1, 41, 1, 26, 111 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 241 x 1 x 41 x 1 x 26 x 111 = 1625444262
Therefore, the lowest common multiple of 241,779,723,494,333 is 1625444262.
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.
241 x 779 x 723 x 494 x 333 = 22328727827094
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.
241 : 1, 241
779 : 1, 19, 41, 779
723 : 1, 3, 241, 723
494 : 1, 2, 13, 19, 26, 38, 247, 494
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,779,723,494,333, is 1.
Now, the common factors can be found like this.
241:241
779:19x 41
723:3x 241
494:2x 13x 19
333:3x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19x 241 = 13737
Therefore, the value for common factors is 13737.
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 = 22328727827094/(1x13737)
LCM = 22328727827094/13737
LCM = 1625444262
Thus, we can understand that the LCM of 241,779,723,494,333 is 1625444262.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 241, 779, 723, 494, 333?
Answer: LCM of 241, 779, 723, 494, 333 is 1625444262.
2. How to calculate the LCM of 241, 779, 723, 494, 333?
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 241, 779, 723, 494, 333.
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}.