LCM of 935, 935, 274, 996, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 935, 274, 996, 394 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 935, 935, 274, 996, 394. So, keep reading to learn more.
Given numbers are 935,935,274,996,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,935,274,996,394 is 25133776140.
Find LCM of 935,935,274,996,394 with Prime Factorization
| 2 | 935, 935, 274, 996, 394 |
| 5 | 935, 935, 137, 498, 197 |
| 11 | 187, 187, 137, 498, 197 |
| 17 | 17, 17, 137, 498, 197 |
| 1, 1, 137, 498, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 1 x 1 x 137 x 498 x 197 = 25133776140
Therefore, the lowest common multiple of 935,935,274,996,394 is 25133776140.
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.
935 x 935 x 274 x 996 x 394 = 94000322763600
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
935 : 1, 5, 11, 17, 55, 85, 187, 935
274 : 1, 2, 137, 274
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,935,274,996,394, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
935:5x 11x 17
274:2x 137
996:2x 2x 3x 83
394:2x 197
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 5x 11x 17 = 3740
Therefore, the value for common factors is 3740.
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 = 94000322763600/(1x3740)
LCM = 94000322763600/3740
LCM = 25133776140
Thus, we can understand that the LCM of 935,935,274,996,394 is 25133776140.
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FAQs on LCM of 935, 935, 274, 996, 394
1. What is the LCM of 935, 935, 274, 996, 394?
Answer: LCM of 935, 935, 274, 996, 394 is 25133776140.
2. How to calculate the LCM of 935, 935, 274, 996, 394?
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 935, 935, 274, 996, 394.
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}.