Find the LCM of 991, 663, 497, 231, 255 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 991, 663, 497, 231, 255. So, keep reading to learn more.
Given numbers are 991,663,497,231,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,663,497,231,255 is 17959997055.
Find LCM of 991,663,497,231,255 with Prime Factorization
3 | 991, 663, 497, 231, 255 |
7 | 991, 221, 497, 77, 85 |
17 | 991, 221, 71, 11, 85 |
991, 13, 71, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 991 x 13 x 71 x 11 x 5 = 17959997055
Therefore, the lowest common multiple of 991,663,497,231,255 is 17959997055.
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.
991 x 663 x 497 x 231 x 255 = 19235156845905
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.
991 : 1, 991
663 : 1, 3, 13, 17, 39, 51, 221, 663
497 : 1, 7, 71, 497
231 : 1, 3, 7, 11, 21, 33, 77, 231
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,663,497,231,255, is 1.
Now, the common factors can be found like this.
991:991
663:3x 13x 17
497:7x 71
231:3x 7x 11
255:3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 17 = 1071
Therefore, the value for common factors is 1071.
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 = 19235156845905/(1x1071)
LCM = 19235156845905/1071
LCM = 17959997055
Thus, we can understand that the LCM of 991,663,497,231,255 is 17959997055.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 991, 663, 497, 231, 255?
Answer: LCM of 991, 663, 497, 231, 255 is 17959997055.
2. How to calculate the LCM of 991, 663, 497, 231, 255?
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 991, 663, 497, 231, 255.
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}.