Find the LCM of 909, 494, 363, 242 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 909, 494, 363, 242. So, keep reading to learn more.
Given numbers are 909,494,363,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,494,363,242 is 54334566.
Find LCM of 909,494,363,242 with Prime Factorization
2 | 909, 494, 363, 242 |
3 | 909, 247, 363, 121 |
11 | 303, 247, 121, 121 |
11 | 303, 247, 11, 11 |
303, 247, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 303 x 247 x 1 x 1 = 54334566
Therefore, the lowest common multiple of 909,494,363,242 is 54334566.
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.
909 x 494 x 363 x 242 = 39446894916
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.
909 : 1, 3, 9, 101, 303, 909
494 : 1, 2, 13, 19, 26, 38, 247, 494
363 : 1, 3, 11, 33, 121, 363
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,494,363,242, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
494:2x 13x 19
363:3x 11x 11
242:2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 11 = 726
Therefore, the value for common factors is 726.
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 = 39446894916/(1x726)
LCM = 39446894916/726
LCM = 54334566
Thus, we can understand that the LCM of 909,494,363,242 is 54334566.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 909, 494, 363, 242?
Answer: LCM of 909, 494, 363, 242 is 54334566.
2. How to calculate the LCM of 909, 494, 363, 242?
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 909, 494, 363, 242.
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}.