LCM of 823, 529, 672, 414, 241
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 823, 529, 672, 414, 241 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 823, 529, 672, 414, 241. So, keep reading to learn more.
Given numbers are 823,529,672,414,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 823,529,672,414,241 is 211525669152.
Find LCM of 823,529,672,414,241 with Prime Factorization
| 2 | 823, 529, 672, 414, 241 |
| 3 | 823, 529, 336, 207, 241 |
| 23 | 823, 529, 112, 69, 241 |
| 823, 23, 112, 3, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 823 x 23 x 112 x 3 x 241 = 211525669152
Therefore, the lowest common multiple of 823,529,672,414,241 is 211525669152.
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.
823 x 529 x 672 x 414 x 241 = 29190542342976
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.
823 : 1, 823
529 : 1, 23, 529
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,529,672,414,241, is 1.
Now, the common factors can be found like this.
823:823
529:23x 23
672:2x 2x 2x 2x 2x 3x 7
414:2x 3x 3x 23
241:241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23 = 138
Therefore, the value for common factors is 138.
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 = 29190542342976/(1x138)
LCM = 29190542342976/138
LCM = 211525669152
Thus, we can understand that the LCM of 823,529,672,414,241 is 211525669152.
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FAQs on LCM of 823, 529, 672, 414, 241
1. What is the LCM of 823, 529, 672, 414, 241?
Answer: LCM of 823, 529, 672, 414, 241 is 211525669152.
2. How to calculate the LCM of 823, 529, 672, 414, 241?
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 823, 529, 672, 414, 241.
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}.