Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 685/291, 7976/275 quickly i.e. 5463560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 685/291, 7976/275 is 5463560.
LCM(685/291, 7976/275) = 5463560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 685/291,7976/275
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 685,7976
Least Common Multiple of Numerators i.e. LCM of 685,7976 is 5463560.
GCF of Denominators means GCF of 291,275 as per the given fractions.
GCF of 291,275 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 685,7976
Given numbers has no common factors except 1. So, there LCM is their product i.e 5463560
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 685,7976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,7976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,7976) x common factors =1 x 1 = 1
LCM(685,7976) = ( 685 × 7976 ) / 1
LCM(685,7976) = 5463560 / 1
LCM(685,7976) = 5463560
Lets's calculate GCF of 291,275
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5463560/1
Therefore the LCM of Fractions 685/291,7976/275 is 5463560
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Greatest Common Factor
We found the factors 291,275 . The biggest common factor number is the GCF number.
So the greatest common factor 291,275 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 685/291, 7976/275?
Answer: LCM of Numerators as per given numbers 685/291, 7976/275 is
LCM of Numerators i.e. for 685,7976 is 5463560
GCF of denominators i.e. for 291,275 is 1.
Thus, LCM of Fractions is 5463560.Finally, LCM of Fractions for 685/291, 7976/275 is 5463560.