Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 548/965, 1092/2491 quickly i.e. 149604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 548/965, 1092/2491 is 149604.
LCM(548/965, 1092/2491) = 149604
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 548/965,1092/2491
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 548,1092
Least Common Multiple of Numerators i.e. LCM of 548,1092 is 149604.
GCF of Denominators means GCF of 965,2491 as per the given fractions.
GCF of 965,2491 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 548,1092
2 | 548, 1092 |
2 | 274, 546 |
137, 273 |
∴ So the LCM of the given numbers is 2 x 2 x 137 x 273 = 149604
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 548,1092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,1092) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(548,1092) x common factors =4 x 1 = 4
LCM(548,1092) = ( 548 × 1092 ) / 4
LCM(548,1092) = 598416 / 4
LCM(548,1092) = 149604
Lets's calculate GCF of 965,2491
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149604/1
Therefore the LCM of Fractions 548/965,1092/2491 is 149604
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 2491
List of positive integer factors of 2491 that divides 2491 without a remainder.
1,47,53,2491
Greatest Common Factor
We found the factors 965,2491 . The biggest common factor number is the GCF number.
So the greatest common factor 965,2491 is 1.
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 548/965, 1092/2491?
Answer: LCM of Numerators as per given numbers 548/965, 1092/2491 is
LCM of Numerators i.e. for 548,1092 is 149604
GCF of denominators i.e. for 965,2491 is 1.
Thus, LCM of Fractions is 149604.Finally, LCM of Fractions for 548/965, 1092/2491 is 149604.