Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/340, 5115/5235 quickly i.e. 48081 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/340, 5115/5235 is 48081.
LCM(47/340, 5115/5235) = 48081
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/340,5115/5235
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 47,5115
Least Common Multiple of Numerators i.e. LCM of 47,5115 is 240405.
GCF of Denominators means GCF of 340,5235 as per the given fractions.
GCF of 340,5235 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,5115
Given numbers has no common factors except 1. So, there LCM is their product i.e 240405
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 47,5115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,5115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,5115) x common factors =1 x 1 = 1
LCM(47,5115) = ( 47 × 5115 ) / 1
LCM(47,5115) = 240405 / 1
LCM(47,5115) = 240405
Lets's calculate GCF of 340,5235
5 | 340, 5235 |
68, 1047 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240405/5
Therefore the LCM of Fractions 47/340,5115/5235 is 48081
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 5235
List of positive integer factors of 5235 that divides 5235 without a remainder.
1,3,5,15,349,1047,1745,5235
Greatest Common Factor
We found the factors 340,5235 . The biggest common factor number is the GCF number.
So the greatest common factor 340,5235 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 47/340, 5115/5235?
Answer: LCM of Numerators as per given numbers 47/340, 5115/5235 is
LCM of Numerators i.e. for 47,5115 is 240405
GCF of denominators i.e. for 340,5235 is 5.
Thus, LCM of Fractions is 48081.Finally, LCM of Fractions for 47/340, 5115/5235 is 48081.