LCM of 824, 308, 405, 826, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 308, 405, 826, 321 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, 308, 405, 826, 321. So, keep reading to learn more.
Given numbers are 824,308,405,826,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,308,405,826,321 is 162221625720.
Find LCM of 824,308,405,826,321 with Prime Factorization
| 2 | 824, 308, 405, 826, 321 |
| 2 | 412, 154, 405, 413, 321 |
| 3 | 206, 77, 405, 413, 321 |
| 7 | 206, 77, 135, 413, 107 |
| 206, 11, 135, 59, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 206 x 11 x 135 x 59 x 107 = 162221625720
Therefore, the lowest common multiple of 824,308,405,826,321 is 162221625720.
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 308 x 405 x 826 x 321 = 27253233120960
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
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
826 : 1, 2, 7, 14, 59, 118, 413, 826
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,308,405,826,321, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
308:2x 2x 7x 11
405:3x 3x 3x 3x 5
826:2x 7x 59
321:3x 107
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 27253233120960/(1x168)
LCM = 27253233120960/168
LCM = 162221625720
Thus, we can understand that the LCM of 824,308,405,826,321 is 162221625720.
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FAQs on LCM of 824, 308, 405, 826, 321
1. What is the LCM of 824, 308, 405, 826, 321?
Answer: LCM of 824, 308, 405, 826, 321 is 162221625720.
2. How to calculate the LCM of 824, 308, 405, 826, 321?
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, 308, 405, 826, 321.
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}.