Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 658/471, 2391/7183 quickly i.e. 1573278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 658/471, 2391/7183 is 1573278.
LCM(658/471, 2391/7183) = 1573278
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 658/471,2391/7183
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 658,2391
Least Common Multiple of Numerators i.e. LCM of 658,2391 is 1573278.
GCF of Denominators means GCF of 471,7183 as per the given fractions.
GCF of 471,7183 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 658,2391
Given numbers has no common factors except 1. So, there LCM is their product i.e 1573278
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 658,2391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,2391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(658,2391) x common factors =1 x 1 = 1
LCM(658,2391) = ( 658 × 2391 ) / 1
LCM(658,2391) = 1573278 / 1
LCM(658,2391) = 1573278
Lets's calculate GCF of 471,7183
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1573278/1
Therefore the LCM of Fractions 658/471,2391/7183 is 1573278
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 7183
List of positive integer factors of 7183 that divides 7183 without a remainder.
1,11,653,7183
Greatest Common Factor
We found the factors 471,7183 . The biggest common factor number is the GCF number.
So the greatest common factor 471,7183 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 658/471, 2391/7183?
Answer: LCM of Numerators as per given numbers 658/471, 2391/7183 is
LCM of Numerators i.e. for 658,2391 is 1573278
GCF of denominators i.e. for 471,7183 is 1.
Thus, LCM of Fractions is 1573278.Finally, LCM of Fractions for 658/471, 2391/7183 is 1573278.