LCM of 729, 496, 341, 244
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 496, 341, 244 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 729, 496, 341, 244. So, keep reading to learn more.
Given numbers are 729,496,341,244
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,496,341,244 is 242622864.
Find LCM of 729,496,341,244 with Prime Factorization
| 2 | 729, 496, 341, 244 |
| 2 | 729, 248, 341, 122 |
| 31 | 729, 124, 341, 61 |
| 729, 4, 11, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 729 x 4 x 11 x 61 = 242622864
Therefore, the lowest common multiple of 729,496,341,244 is 242622864.
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.
729 x 496 x 341 x 244 = 30085235136
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.
729 : 1, 3, 9, 27, 81, 243, 729
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
341 : 1, 11, 31, 341
244 : 1, 2, 4, 61, 122, 244
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,496,341,244, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
496:2x 2x 2x 2x 31
341:11x 31
244:2x 2x 61
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 31 = 124
Therefore, the value for common factors is 124.
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 = 30085235136/(1x124)
LCM = 30085235136/124
LCM = 242622864
Thus, we can understand that the LCM of 729,496,341,244 is 242622864.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 729, 496, 341, 244
1. What is the LCM of 729, 496, 341, 244?
Answer: LCM of 729, 496, 341, 244 is 242622864.
2. How to calculate the LCM of 729, 496, 341, 244?
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 729, 496, 341, 244.
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}.