Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 935/42, 935/27, 245/17 quickly i.e. 45815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 935/42, 935/27, 245/17 is 45815.
LCM(935/42, 935/27, 245/17) = 45815
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 935/42,935/27,245/17
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 935,935,245
Least Common Multiple of Numerators i.e. LCM of 935,935,245 is 45815.
GCF of Denominators means GCF of 42,27,17 as per the given fractions.
GCF of 42,27,17 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 935,935,245
5 | 935, 935, 245 |
11 | 187, 187, 49 |
17 | 17, 17, 49 |
1, 1, 49 |
∴ So the LCM of the given numbers is 5 x 11 x 17 x 1 x 1 x 49 = 45815
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 935,935,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,935,245) = 5
common factors(in case of two or more numbers have common factors) = 935
GCF(935,935,245) x common factors =5 x 935 = 4675
LCM(935,935,245) = ( 935 × 935 × 245 ) / 4675
LCM(935,935,245) = 214185125 / 4675
LCM(935,935,245) = 45815
Lets's calculate GCF of 42,27,17
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45815/1
Therefore the LCM of Fractions 935/42,935/27,245/17 is 45815
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Greatest Common Factor
We found the factors 42,27,17 . The biggest common factor number is the GCF number.
So the greatest common factor 42,27,17 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 935/42, 935/27, 245/17?
Answer: LCM of Numerators as per given numbers 935/42, 935/27, 245/17 is
LCM of Numerators i.e. for 935,935,245 is 45815
GCF of denominators i.e. for 42,27,17 is 1.
Thus, LCM of Fractions is 45815.Finally, LCM of Fractions for 935/42, 935/27, 245/17 is 45815.