LCM of 796, 597, 442, 776, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 597, 442, 776, 289 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, 597, 442, 776, 289. So, keep reading to learn more.
Given numbers are 796,597,442,776,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,597,442,776,289 is 1740512904.
Find LCM of 796,597,442,776,289 with Prime Factorization
| 2 | 796, 597, 442, 776, 289 |
| 2 | 398, 597, 221, 388, 289 |
| 17 | 199, 597, 221, 194, 289 |
| 199 | 199, 597, 13, 194, 17 |
| 1, 3, 13, 194, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 199 x 1 x 3 x 13 x 194 x 17 = 1740512904
Therefore, the lowest common multiple of 796,597,442,776,289 is 1740512904.
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 597 x 442 x 776 x 289 = 47105241233856
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
597 : 1, 3, 199, 597
442 : 1, 2, 13, 17, 26, 34, 221, 442
776 : 1, 2, 4, 8, 97, 194, 388, 776
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,597,442,776,289, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
597:3x 199
442:2x 13x 17
776:2x 2x 2x 97
289:17x 17
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 17x 199 = 27064
Therefore, the value for common factors is 27064.
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 = 47105241233856/(1x27064)
LCM = 47105241233856/27064
LCM = 1740512904
Thus, we can understand that the LCM of 796,597,442,776,289 is 1740512904.
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FAQs on LCM of 796, 597, 442, 776, 289
1. What is the LCM of 796, 597, 442, 776, 289?
Answer: LCM of 796, 597, 442, 776, 289 is 1740512904.
2. How to calculate the LCM of 796, 597, 442, 776, 289?
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, 597, 442, 776, 289.
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}.