Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2308/903, 1085/7095 quickly i.e. 2504180/129 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2308/903, 1085/7095 is 2504180/129.
LCM(2308/903, 1085/7095) = 2504180/129
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2308/903,1085/7095
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 2308,1085
Least Common Multiple of Numerators i.e. LCM of 2308,1085 is 2504180.
GCF of Denominators means GCF of 903,7095 as per the given fractions.
GCF of 903,7095 is 129 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2308,1085
Given numbers has no common factors except 1. So, there LCM is their product i.e 2504180
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 2308,1085 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2308,1085) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2308,1085) x common factors =1 x 1 = 1
LCM(2308,1085) = ( 2308 × 1085 ) / 1
LCM(2308,1085) = 2504180 / 1
LCM(2308,1085) = 2504180
Lets's calculate GCF of 903,7095
3 | 903, 7095 |
43 | 301, 2365 |
7, 55 |
∴ So the GCF of the given numbers is 3 x 43 = 129
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2504180/129
Therefore the LCM of Fractions 2308/903,1085/7095 is 2504180/129
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 7095
List of positive integer factors of 7095 that divides 7095 without a remainder.
1,3,5,11,15,33,43,55,129,165,215,473,645,1419,2365,7095
Greatest Common Factor
We found the factors 903,7095 . The biggest common factor number is the GCF number.
So the greatest common factor 903,7095 is 129.
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 2308/903, 1085/7095?
Answer: LCM of Numerators as per given numbers 2308/903, 1085/7095 is
LCM of Numerators i.e. for 2308,1085 is 2504180
GCF of denominators i.e. for 903,7095 is 129.
Thus, LCM of Fractions is 2504180/129.Finally, LCM of Fractions for 2308/903, 1085/7095 is 2504180/129.