Find the LCM of 366, 774, 846, 538, 244 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 366, 774, 846, 538, 244. So, keep reading to learn more.
Given numbers are 366,774,846,538,244
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 366,774,846,538,244 is 1193853204.
Find LCM of 366,774,846,538,244 with Prime Factorization
2 | 366, 774, 846, 538, 244 |
3 | 183, 387, 423, 269, 122 |
3 | 61, 129, 141, 269, 122 |
61 | 61, 43, 47, 269, 122 |
1, 43, 47, 269, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 61 x 1 x 43 x 47 x 269 x 2 = 1193853204
Therefore, the lowest common multiple of 366,774,846,538,244 is 1193853204.
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.
366 x 774 x 846 x 538 x 244 = 31460419631808
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.
366 : 1, 2, 3, 6, 61, 122, 183, 366
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
538 : 1, 2, 269, 538
244 : 1, 2, 4, 61, 122, 244
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,774,846,538,244, is 2.
Now, the common factors can be found like this.
366:2x 3x 61
774:2x 3x 3x 43
846:2x 3x 3x 47
538:2x 269
244:2x 2x 61
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 3x 3x 3x 61 = 13176
Therefore, the value for common factors is 13176.
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 = 31460419631808/(2x13176)
LCM = 31460419631808/26352
LCM = 1193853204
Thus, we can understand that the LCM of 366,774,846,538,244 is 1193853204.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 366, 774, 846, 538, 244?
Answer: LCM of 366, 774, 846, 538, 244 is 1193853204.
2. How to calculate the LCM of 366, 774, 846, 538, 244?
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 366, 774, 846, 538, 244.
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}.