Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3031/530, 7497/2260 quickly i.e. 3246201/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3031/530, 7497/2260 is 3246201/10.
LCM(3031/530, 7497/2260) = 3246201/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3031/530,7497/2260
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 3031,7497
Least Common Multiple of Numerators i.e. LCM of 3031,7497 is 3246201.
GCF of Denominators means GCF of 530,2260 as per the given fractions.
GCF of 530,2260 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3031,7497
7 | 3031, 7497 |
433, 1071 |
∴ So the LCM of the given numbers is 7 x 433 x 1071 = 3246201
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 3031,7497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3031,7497) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(3031,7497) x common factors =7 x 1 = 7
LCM(3031,7497) = ( 3031 × 7497 ) / 7
LCM(3031,7497) = 22723407 / 7
LCM(3031,7497) = 3246201
Lets's calculate GCF of 530,2260
2 | 530, 2260 |
5 | 265, 1130 |
53, 226 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3246201/10
Therefore the LCM of Fractions 3031/530,7497/2260 is 3246201/10
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 2260
List of positive integer factors of 2260 that divides 2260 without a remainder.
1,2,4,5,10,20,113,226,452,565,1130,2260
Greatest Common Factor
We found the factors 530,2260 . The biggest common factor number is the GCF number.
So the greatest common factor 530,2260 is 10.
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 3031/530, 7497/2260?
Answer: LCM of Numerators as per given numbers 3031/530, 7497/2260 is
LCM of Numerators i.e. for 3031,7497 is 3246201
GCF of denominators i.e. for 530,2260 is 10.
Thus, LCM of Fractions is 3246201/10.Finally, LCM of Fractions for 3031/530, 7497/2260 is 3246201/10.