Find the LCM of 268, 341, 554, 481, 554 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 268, 341, 554, 481, 554. So, keep reading to learn more.
Given numbers are 268,341,554,481,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,341,554,481,554 is 12176262956.
Find LCM of 268,341,554,481,554 with Prime Factorization
2 | 268, 341, 554, 481, 554 |
277 | 134, 341, 277, 481, 277 |
134, 341, 1, 481, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 277 x 134 x 341 x 1 x 481 x 1 = 12176262956
Therefore, the lowest common multiple of 268,341,554,481,554 is 12176262956.
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.
268 x 341 x 554 x 481 x 554 = 13491299355248
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.
268 : 1, 2, 4, 67, 134, 268
341 : 1, 11, 31, 341
554 : 1, 2, 277, 554
481 : 1, 13, 37, 481
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,341,554,481,554, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
341:11x 31
554:2x 277
481:13x 37
554:2x 277
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 277 = 1108
Therefore, the value for common factors is 1108.
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 = 13491299355248/(1x1108)
LCM = 13491299355248/1108
LCM = 12176262956
Thus, we can understand that the LCM of 268,341,554,481,554 is 12176262956.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 268, 341, 554, 481, 554?
Answer: LCM of 268, 341, 554, 481, 554 is 12176262956.
2. How to calculate the LCM of 268, 341, 554, 481, 554?
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 268, 341, 554, 481, 554.
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}.