Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/681, 7158/8735 quickly i.e. 393690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/681, 7158/8735 is 393690.
LCM(55/681, 7158/8735) = 393690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/681,7158/8735
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 55,7158
Least Common Multiple of Numerators i.e. LCM of 55,7158 is 393690.
GCF of Denominators means GCF of 681,8735 as per the given fractions.
GCF of 681,8735 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,7158
Given numbers has no common factors except 1. So, there LCM is their product i.e 393690
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 55,7158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,7158) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,7158) x common factors =1 x 1 = 1
LCM(55,7158) = ( 55 × 7158 ) / 1
LCM(55,7158) = 393690 / 1
LCM(55,7158) = 393690
Lets's calculate GCF of 681,8735
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 393690/1
Therefore the LCM of Fractions 55/681,7158/8735 is 393690
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 8735
List of positive integer factors of 8735 that divides 8735 without a remainder.
1,5,1747,8735
Greatest Common Factor
We found the factors 681,8735 . The biggest common factor number is the GCF number.
So the greatest common factor 681,8735 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 55/681, 7158/8735?
Answer: LCM of Numerators as per given numbers 55/681, 7158/8735 is
LCM of Numerators i.e. for 55,7158 is 393690
GCF of denominators i.e. for 681,8735 is 1.
Thus, LCM of Fractions is 393690.Finally, LCM of Fractions for 55/681, 7158/8735 is 393690.