Find the LCM of 822, 324, 188, 312 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 822, 324, 188, 312. So, keep reading to learn more.
Given numbers are 822,324,188,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,324,188,312 is 54242136.
Find LCM of 822,324,188,312 with Prime Factorization
2 | 822, 324, 188, 312 |
2 | 411, 162, 94, 156 |
3 | 411, 81, 47, 78 |
137, 27, 47, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 137 x 27 x 47 x 26 = 54242136
Therefore, the lowest common multiple of 822,324,188,312 is 54242136.
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.
822 x 324 x 188 x 312 = 15621735168
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
188 : 1, 2, 4, 47, 94, 188
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,324,188,312, is 2.
Now, the common factors can be found like this.
822:2x 3x 137
324:2x 2x 3x 3x 3x 3
188:2x 2x 47
312:2x 2x 2x 3x 13
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 15621735168/(2x144)
LCM = 15621735168/288
LCM = 54242136
Thus, we can understand that the LCM of 822,324,188,312 is 54242136.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 324, 188, 312?
Answer: LCM of 822, 324, 188, 312 is 54242136.
2. How to calculate the LCM of 822, 324, 188, 312?
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 822, 324, 188, 312.
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}.