Find the LCM of 631, 168, 816, 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 631, 168, 816, 996. So, keep reading to learn more.
Given numbers are 631,168,816,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 631,168,816,996 is 299154576.
Find LCM of 631,168,816,996 with Prime Factorization
2 | 631, 168, 816, 996 |
2 | 631, 84, 408, 498 |
2 | 631, 42, 204, 249 |
3 | 631, 21, 102, 249 |
631, 7, 34, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 631 x 7 x 34 x 83 = 299154576
Therefore, the lowest common multiple of 631,168,816,996 is 299154576.
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.
631 x 168 x 816 x 996 = 86156517888
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.
631 : 1, 631
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
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 631,168,816,996, is 1.
Now, the common factors can be found like this.
631:631
168:2x 2x 2x 3x 7
816:2x 2x 2x 2x 3x 17
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 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 86156517888/(1x288)
LCM = 86156517888/288
LCM = 299154576
Thus, we can understand that the LCM of 631,168,816,996 is 299154576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 631, 168, 816, 996?
Answer: LCM of 631, 168, 816, 996 is 299154576.
2. How to calculate the LCM of 631, 168, 816, 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 631, 168, 816, 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}.