LCM of 785, 957, 935, 241
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 957, 935, 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 785, 957, 935, 241. So, keep reading to learn more.
Given numbers are 785,957,935,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,957,935,241 is 3077850765.
Find LCM of 785,957,935,241 with Prime Factorization
| 5 | 785, 957, 935, 241 |
| 11 | 157, 957, 187, 241 |
| 157, 87, 17, 241 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 157 x 87 x 17 x 241 = 3077850765
Therefore, the lowest common multiple of 785,957,935,241 is 3077850765.
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.
785 x 957 x 935 x 241 = 169281792075
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.
785 : 1, 5, 157, 785
957 : 1, 3, 11, 29, 33, 87, 319, 957
935 : 1, 5, 11, 17, 55, 85, 187, 935
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,957,935,241, is 1.
Now, the common factors can be found like this.
785:5x 157
957:3x 11x 29
935:5x 11x 17
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.
5x 11 = 55
Therefore, the value for common factors is 55.
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 = 169281792075/(1x55)
LCM = 169281792075/55
LCM = 3077850765
Thus, we can understand that the LCM of 785,957,935,241 is 3077850765.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 785, 957, 935, 241
1. What is the LCM of 785, 957, 935, 241?
Answer: LCM of 785, 957, 935, 241 is 3077850765.
2. How to calculate the LCM of 785, 957, 935, 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 785, 957, 935, 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}.