LCM of 796, 329, 400, 726, 484
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 329, 400, 726, 484 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 796, 329, 400, 726, 484. So, keep reading to learn more.
Given numbers are 796,329,400,726,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,329,400,726,484 is 9506389200.
Find LCM of 796,329,400,726,484 with Prime Factorization
| 2 | 796, 329, 400, 726, 484 |
| 2 | 398, 329, 200, 363, 242 |
| 11 | 199, 329, 100, 363, 121 |
| 11 | 199, 329, 100, 33, 11 |
| 199, 329, 100, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 199 x 329 x 100 x 3 x 1 = 9506389200
Therefore, the lowest common multiple of 796,329,400,726,484 is 9506389200.
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.
796 x 329 x 400 x 726 x 484 = 36808738982400
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.
796 : 1, 2, 4, 199, 398, 796
329 : 1, 7, 47, 329
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,329,400,726,484, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
329:7x 47
400:2x 2x 2x 2x 5x 5
726:2x 3x 11x 11
484:2x 2x 11x 11
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 2x 11x 11 = 3872
Therefore, the value for common factors is 3872.
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 = 36808738982400/(1x3872)
LCM = 36808738982400/3872
LCM = 9506389200
Thus, we can understand that the LCM of 796,329,400,726,484 is 9506389200.
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FAQs on LCM of 796, 329, 400, 726, 484
1. What is the LCM of 796, 329, 400, 726, 484?
Answer: LCM of 796, 329, 400, 726, 484 is 9506389200.
2. How to calculate the LCM of 796, 329, 400, 726, 484?
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 796, 329, 400, 726, 484.
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}.