LCM of 935, 830, 760, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 830, 760, 986 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, 830, 760, 986. So, keep reading to learn more.
Given numbers are 935,830,760,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,830,760,986 is 342082840.
Find LCM of 935,830,760,986 with Prime Factorization
| 2 | 935, 830, 760, 986 |
| 5 | 935, 415, 380, 493 |
| 17 | 187, 83, 76, 493 |
| 11, 83, 76, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 11 x 83 x 76 x 29 = 342082840
Therefore, the lowest common multiple of 935,830,760,986 is 342082840.
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 830 x 760 x 986 = 581540828000
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
830 : 1, 2, 5, 10, 83, 166, 415, 830
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,830,760,986, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
830:2x 5x 83
760:2x 2x 2x 5x 19
986:2x 17x 29
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 5x 17 = 1700
Therefore, the value for common factors is 1700.
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 = 581540828000/(1x1700)
LCM = 581540828000/1700
LCM = 342082840
Thus, we can understand that the LCM of 935,830,760,986 is 342082840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 935, 830, 760, 986
1. What is the LCM of 935, 830, 760, 986?
Answer: LCM of 935, 830, 760, 986 is 342082840.
2. How to calculate the LCM of 935, 830, 760, 986?
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, 830, 760, 986.
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}.