LCM of 816, 408, 111, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 408, 111, 102 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 816, 408, 111, 102. So, keep reading to learn more.
Given numbers are 816,408,111,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,408,111,102 is 30192.
Find LCM of 816,408,111,102 with Prime Factorization
| 2 | 816, 408, 111, 102 |
| 2 | 408, 204, 111, 51 |
| 2 | 102, 204, 111, 51 |
| 3 | 51, 102, 111, 51 |
| 17 | 17, 34, 37, 17 |
| 1, 2, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 1 x 2 x 37 x 1 = 30192
Therefore, the lowest common multiple of 816,408,111,102 is 30192.
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.
816 x 408 x 111 x 102 = 3769410816
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
111 : 1, 3, 37, 111
102 : 1, 2, 3, 6, 17, 34, 51, 102
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,408,111,102, is 3.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
408:2x 2x 2x 3x 17
111:3x 37
102:2x 3x 17
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 3x 17x 17 = 41616
Therefore, the value for common factors is 41616.
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 = 3769410816/(3x41616)
LCM = 3769410816/124848
LCM = 30192
Thus, we can understand that the LCM of 816,408,111,102 is 30192.
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FAQs on LCM of 816, 408, 111, 102
1. What is the LCM of 816, 408, 111, 102?
Answer: LCM of 816, 408, 111, 102 is 30192.
2. How to calculate the LCM of 816, 408, 111, 102?
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 816, 408, 111, 102.
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}.