Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/935, 7646/8835 quickly i.e. 38230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/935, 7646/8835 is 38230.
LCM(25/935, 7646/8835) = 38230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/935,7646/8835
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 25,7646
Least Common Multiple of Numerators i.e. LCM of 25,7646 is 191150.
GCF of Denominators means GCF of 935,8835 as per the given fractions.
GCF of 935,8835 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,7646
Given numbers has no common factors except 1. So, there LCM is their product i.e 191150
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 25,7646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,7646) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,7646) x common factors =1 x 1 = 1
LCM(25,7646) = ( 25 × 7646 ) / 1
LCM(25,7646) = 191150 / 1
LCM(25,7646) = 191150
Lets's calculate GCF of 935,8835
5 | 935, 8835 |
187, 1767 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191150/5
Therefore the LCM of Fractions 25/935,7646/8835 is 38230
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 8835
List of positive integer factors of 8835 that divides 8835 without a remainder.
1,3,5,15,19,31,57,93,95,155,285,465,589,1767,2945,8835
Greatest Common Factor
We found the factors 935,8835 . The biggest common factor number is the GCF number.
So the greatest common factor 935,8835 is 5.
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 25/935, 7646/8835?
Answer: LCM of Numerators as per given numbers 25/935, 7646/8835 is
LCM of Numerators i.e. for 25,7646 is 191150
GCF of denominators i.e. for 935,8835 is 5.
Thus, LCM of Fractions is 38230.Finally, LCM of Fractions for 25/935, 7646/8835 is 38230.