LCM of 824, 869, 867, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 869, 867, 814 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, 869, 867, 814. So, keep reading to learn more.
Given numbers are 824,869,867,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,869,867,814 is 22970360424.
Find LCM of 824,869,867,814 with Prime Factorization
| 2 | 824, 869, 867, 814 |
| 11 | 412, 869, 867, 407 |
| 412, 79, 867, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 412 x 79 x 867 x 37 = 22970360424
Therefore, the lowest common multiple of 824,869,867,814 is 22970360424.
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 869 x 867 x 814 = 505347929328
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
869 : 1, 11, 79, 869
867 : 1, 3, 17, 51, 289, 867
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,869,867,814, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
869:11x 79
867:3x 17x 17
814:2x 11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 505347929328/(1x22)
LCM = 505347929328/22
LCM = 22970360424
Thus, we can understand that the LCM of 824,869,867,814 is 22970360424.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 824, 869, 867, 814
1. What is the LCM of 824, 869, 867, 814?
Answer: LCM of 824, 869, 867, 814 is 22970360424.
2. How to calculate the LCM of 824, 869, 867, 814?
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, 869, 867, 814.
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}.