Find the LCM of 236, 188, 396, 944, 324 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 236, 188, 396, 944, 324. So, keep reading to learn more.
Given numbers are 236,188,396,944,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,188,396,944,324 is 39531888.
Find LCM of 236,188,396,944,324 with Prime Factorization
2 | 236, 188, 396, 944, 324 |
2 | 118, 94, 198, 472, 162 |
3 | 59, 47, 99, 236, 81 |
3 | 59, 47, 33, 236, 27 |
59 | 59, 47, 11, 236, 9 |
1, 47, 11, 4, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 59 x 1 x 47 x 11 x 4 x 9 = 39531888
Therefore, the lowest common multiple of 236,188,396,944,324 is 39531888.
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.
236 x 188 x 396 x 944 x 324 = 5373806727168
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.
236 : 1, 2, 4, 59, 118, 236
188 : 1, 2, 4, 47, 94, 188
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,188,396,944,324, is 4.
Now, the common factors can be found like this.
236:2x 2x 59
188:2x 2x 47
396:2x 2x 3x 3x 11
944:2x 2x 2x 2x 59
324:2x 2x 3x 3x 3x 3
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 2x 3x 3x 59 = 33984
Therefore, the value for common factors is 33984.
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 = 5373806727168/(4x33984)
LCM = 5373806727168/135936
LCM = 39531888
Thus, we can understand that the LCM of 236,188,396,944,324 is 39531888.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 236, 188, 396, 944, 324?
Answer: LCM of 236, 188, 396, 944, 324 is 39531888.
2. How to calculate the LCM of 236, 188, 396, 944, 324?
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 236, 188, 396, 944, 324.
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}.