Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3158/615, 8053/9350 quickly i.e. 25431374/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3158/615, 8053/9350 is 25431374/5.
LCM(3158/615, 8053/9350) = 25431374/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3158/615,8053/9350
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 3158,8053
Least Common Multiple of Numerators i.e. LCM of 3158,8053 is 25431374.
GCF of Denominators means GCF of 615,9350 as per the given fractions.
GCF of 615,9350 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3158,8053
Given numbers has no common factors except 1. So, there LCM is their product i.e 25431374
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 3158,8053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3158,8053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3158,8053) x common factors =1 x 1 = 1
LCM(3158,8053) = ( 3158 × 8053 ) / 1
LCM(3158,8053) = 25431374 / 1
LCM(3158,8053) = 25431374
Lets's calculate GCF of 615,9350
5 | 615, 9350 |
123, 1870 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25431374/5
Therefore the LCM of Fractions 3158/615,8053/9350 is 25431374/5
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Factors of 9350
List of positive integer factors of 9350 that divides 9350 without a remainder.
1,2,5,10,11,17,22,25,34,50,55,85,110,170,187,275,374,425,550,850,935,1870,4675,9350
Greatest Common Factor
We found the factors 615,9350 . The biggest common factor number is the GCF number.
So the greatest common factor 615,9350 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 3158/615, 8053/9350?
Answer: LCM of Numerators as per given numbers 3158/615, 8053/9350 is
LCM of Numerators i.e. for 3158,8053 is 25431374
GCF of denominators i.e. for 615,9350 is 5.
Thus, LCM of Fractions is 25431374/5.Finally, LCM of Fractions for 3158/615, 8053/9350 is 25431374/5.