Find the LCM of 242, 444, 649, 333, 494 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 242, 444, 649, 333, 494. So, keep reading to learn more.
Given numbers are 242,444,649,333,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,444,649,333,494 is 2348759556.
Find LCM of 242,444,649,333,494 with Prime Factorization
2 | 242, 444, 649, 333, 494 |
3 | 121, 222, 649, 333, 247 |
11 | 121, 74, 649, 111, 247 |
37 | 11, 74, 59, 111, 247 |
11, 2, 59, 3, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 37 x 11 x 2 x 59 x 3 x 247 = 2348759556
Therefore, the lowest common multiple of 242,444,649,333,494 is 2348759556.
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.
242 x 444 x 649 x 333 x 494 = 11471341671504
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.
242 : 1, 2, 11, 22, 121, 242
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
649 : 1, 11, 59, 649
333 : 1, 3, 9, 37, 111, 333
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,444,649,333,494, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
444:2x 2x 3x 37
649:11x 59
333:3x 3x 37
494:2x 13x 19
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 3x 11x 37 = 4884
Therefore, the value for common factors is 4884.
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 = 11471341671504/(1x4884)
LCM = 11471341671504/4884
LCM = 2348759556
Thus, we can understand that the LCM of 242,444,649,333,494 is 2348759556.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 242, 444, 649, 333, 494?
Answer: LCM of 242, 444, 649, 333, 494 is 2348759556.
2. How to calculate the LCM of 242, 444, 649, 333, 494?
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 242, 444, 649, 333, 494.
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}.