Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6104/265, 7841/1825 quickly i.e. 47861464/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6104/265, 7841/1825 is 47861464/5.
LCM(6104/265, 7841/1825) = 47861464/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6104/265,7841/1825
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 6104,7841
Least Common Multiple of Numerators i.e. LCM of 6104,7841 is 47861464.
GCF of Denominators means GCF of 265,1825 as per the given fractions.
GCF of 265,1825 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6104,7841
Given numbers has no common factors except 1. So, there LCM is their product i.e 47861464
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 6104,7841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6104,7841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6104,7841) x common factors =1 x 1 = 1
LCM(6104,7841) = ( 6104 × 7841 ) / 1
LCM(6104,7841) = 47861464 / 1
LCM(6104,7841) = 47861464
Lets's calculate GCF of 265,1825
5 | 265, 1825 |
53, 365 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47861464/5
Therefore the LCM of Fractions 6104/265,7841/1825 is 47861464/5
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 1825
List of positive integer factors of 1825 that divides 1825 without a remainder.
1,5,25,73,365,1825
Greatest Common Factor
We found the factors 265,1825 . The biggest common factor number is the GCF number.
So the greatest common factor 265,1825 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 6104/265, 7841/1825?
Answer: LCM of Numerators as per given numbers 6104/265, 7841/1825 is
LCM of Numerators i.e. for 6104,7841 is 47861464
GCF of denominators i.e. for 265,1825 is 5.
Thus, LCM of Fractions is 47861464/5.Finally, LCM of Fractions for 6104/265, 7841/1825 is 47861464/5.