Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7428/184, 7045/597 quickly i.e. 52330260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7428/184, 7045/597 is 52330260.
LCM(7428/184, 7045/597) = 52330260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7428/184,7045/597
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 7428,7045
Least Common Multiple of Numerators i.e. LCM of 7428,7045 is 52330260.
GCF of Denominators means GCF of 184,597 as per the given fractions.
GCF of 184,597 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7428,7045
Given numbers has no common factors except 1. So, there LCM is their product i.e 52330260
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 7428,7045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7428,7045) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7428,7045) x common factors =1 x 1 = 1
LCM(7428,7045) = ( 7428 × 7045 ) / 1
LCM(7428,7045) = 52330260 / 1
LCM(7428,7045) = 52330260
Lets's calculate GCF of 184,597
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52330260/1
Therefore the LCM of Fractions 7428/184,7045/597 is 52330260
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Greatest Common Factor
We found the factors 184,597 . The biggest common factor number is the GCF number.
So the greatest common factor 184,597 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 7428/184, 7045/597?
Answer: LCM of Numerators as per given numbers 7428/184, 7045/597 is
LCM of Numerators i.e. for 7428,7045 is 52330260
GCF of denominators i.e. for 184,597 is 1.
Thus, LCM of Fractions is 52330260.Finally, LCM of Fractions for 7428/184, 7045/597 is 52330260.