Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2539/530, 7989/1048 quickly i.e. 20284071/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2539/530, 7989/1048 is 20284071/2.
LCM(2539/530, 7989/1048) = 20284071/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2539/530,7989/1048
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 2539,7989
Least Common Multiple of Numerators i.e. LCM of 2539,7989 is 20284071.
GCF of Denominators means GCF of 530,1048 as per the given fractions.
GCF of 530,1048 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2539,7989
Given numbers has no common factors except 1. So, there LCM is their product i.e 20284071
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 2539,7989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2539,7989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2539,7989) x common factors =1 x 1 = 1
LCM(2539,7989) = ( 2539 × 7989 ) / 1
LCM(2539,7989) = 20284071 / 1
LCM(2539,7989) = 20284071
Lets's calculate GCF of 530,1048
2 | 530, 1048 |
265, 524 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20284071/2
Therefore the LCM of Fractions 2539/530,7989/1048 is 20284071/2
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 1048
List of positive integer factors of 1048 that divides 1048 without a remainder.
1,2,4,8,131,262,524,1048
Greatest Common Factor
We found the factors 530,1048 . The biggest common factor number is the GCF number.
So the greatest common factor 530,1048 is 2.
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 2539/530, 7989/1048?
Answer: LCM of Numerators as per given numbers 2539/530, 7989/1048 is
LCM of Numerators i.e. for 2539,7989 is 20284071
GCF of denominators i.e. for 530,1048 is 2.
Thus, LCM of Fractions is 20284071/2.Finally, LCM of Fractions for 2539/530, 7989/1048 is 20284071/2.