Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 544/241, 7386/964 quickly i.e. 2008992/241 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 544/241, 7386/964 is 2008992/241.
LCM(544/241, 7386/964) = 2008992/241
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 544/241,7386/964
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 544,7386
Least Common Multiple of Numerators i.e. LCM of 544,7386 is 2008992.
GCF of Denominators means GCF of 241,964 as per the given fractions.
GCF of 241,964 is 241 as it is the largest common factor for these numbers.
Lets's calculate LCM of 544,7386
2 | 544, 7386 |
272, 3693 |
∴ So the LCM of the given numbers is 2 x 272 x 3693 = 2008992
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 544,7386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,7386) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(544,7386) x common factors =2 x 1 = 2
LCM(544,7386) = ( 544 × 7386 ) / 2
LCM(544,7386) = 4017984 / 2
LCM(544,7386) = 2008992
Lets's calculate GCF of 241,964
241 | 241, 964 |
1, 4 |
∴ So the GCF of the given numbers is 241 = 241
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2008992/241
Therefore the LCM of Fractions 544/241,7386/964 is 2008992/241
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Greatest Common Factor
We found the factors 241,964 . The biggest common factor number is the GCF number.
So the greatest common factor 241,964 is 241.
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 544/241, 7386/964?
Answer: LCM of Numerators as per given numbers 544/241, 7386/964 is
LCM of Numerators i.e. for 544,7386 is 2008992
GCF of denominators i.e. for 241,964 is 241.
Thus, LCM of Fractions is 2008992/241.Finally, LCM of Fractions for 544/241, 7386/964 is 2008992/241.