Find the LCM of 116, 910, 485, 815, 996 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 116, 910, 485, 815, 996. So, keep reading to learn more.
Given numbers are 116,910,485,815,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,910,485,815,996 is 207791640420.
Find LCM of 116,910,485,815,996 with Prime Factorization
2 | 116, 910, 485, 815, 996 |
2 | 58, 455, 485, 815, 498 |
5 | 29, 455, 485, 815, 249 |
29, 91, 97, 163, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 29 x 91 x 97 x 163 x 249 = 207791640420
Therefore, the lowest common multiple of 116,910,485,815,996 is 207791640420.
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.
116 x 910 x 485 x 815 x 996 = 41558328084000
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.
116 : 1, 2, 4, 29, 58, 116
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
485 : 1, 5, 97, 485
815 : 1, 5, 163, 815
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,910,485,815,996, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
910:2x 5x 7x 13
485:5x 97
815:5x 163
996:2x 2x 3x 83
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 2x 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 41558328084000/(1x200)
LCM = 41558328084000/200
LCM = 207791640420
Thus, we can understand that the LCM of 116,910,485,815,996 is 207791640420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 116, 910, 485, 815, 996?
Answer: LCM of 116, 910, 485, 815, 996 is 207791640420.
2. How to calculate the LCM of 116, 910, 485, 815, 996?
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 116, 910, 485, 815, 996.
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}.