Find the LCM of 824, 816, 107, 184 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 824, 816, 107, 184. So, keep reading to learn more.
Given numbers are 824,816,107,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,816,107,184 is 206842128.
Find LCM of 824,816,107,184 with Prime Factorization
2 | 824, 816, 107, 184 |
2 | 412, 408, 107, 92 |
2 | 206, 204, 107, 46 |
103, 102, 107, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 103 x 102 x 107 x 23 = 206842128
Therefore, the lowest common multiple of 824,816,107,184 is 206842128.
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.
824 x 816 x 107 x 184 = 13237896192
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
107 : 1, 107
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,816,107,184, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
816:2x 2x 2x 2x 3x 17
107:107
184:2x 2x 2x 23
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 2 = 64
Therefore, the value for common factors is 64.
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 = 13237896192/(1x64)
LCM = 13237896192/64
LCM = 206842128
Thus, we can understand that the LCM of 824,816,107,184 is 206842128.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 824, 816, 107, 184?
Answer: LCM of 824, 816, 107, 184 is 206842128.
2. How to calculate the LCM of 824, 816, 107, 184?
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 824, 816, 107, 184.
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}.