LCM of 412, 824, 412, 116
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 412, 824, 412, 116 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 412, 824, 412, 116. So, keep reading to learn more.
Given numbers are 412,824,412,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,824,412,116 is 23896.
Find LCM of 412,824,412,116 with Prime Factorization
| 2 | 412, 824, 412, 116 |
| 2 | 206, 412, 206, 58 |
| 103 | 103, 103, 206, 29 |
| 1, 1, 2, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 103 x 1 x 1 x 2 x 29 = 23896
Therefore, the lowest common multiple of 412,824,412,116 is 23896.
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.
412 x 824 x 412 x 116 = 16224810496
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.
412 : 1, 2, 4, 103, 206, 412
824 : 1, 2, 4, 8, 103, 206, 412, 824
412 : 1, 2, 4, 103, 206, 412
116 : 1, 2, 4, 29, 58, 116
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,824,412,116, is 4.
Now, the common factors can be found like this.
412:2x 2x 103
824:2x 2x 2x 103
412:2x 2x 103
116:2x 2x 29
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 103x 103 = 169744
Therefore, the value for common factors is 169744.
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 = 16224810496/(4x169744)
LCM = 16224810496/678976
LCM = 23896
Thus, we can understand that the LCM of 412,824,412,116 is 23896.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 412, 824, 412, 116
1. What is the LCM of 412, 824, 412, 116?
Answer: LCM of 412, 824, 412, 116 is 23896.
2. How to calculate the LCM of 412, 824, 412, 116?
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 412, 824, 412, 116.
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}.