Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 308/62, 277/5287 quickly i.e. 85316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 308/62, 277/5287 is 85316.
LCM(308/62, 277/5287) = 85316
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 308/62,277/5287
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 308,277
Least Common Multiple of Numerators i.e. LCM of 308,277 is 85316.
GCF of Denominators means GCF of 62,5287 as per the given fractions.
GCF of 62,5287 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 308,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 85316
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 308,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(308,277) x common factors =1 x 1 = 1
LCM(308,277) = ( 308 × 277 ) / 1
LCM(308,277) = 85316 / 1
LCM(308,277) = 85316
Lets's calculate GCF of 62,5287
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85316/1
Therefore the LCM of Fractions 308/62,277/5287 is 85316
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 5287
List of positive integer factors of 5287 that divides 5287 without a remainder.
1,17,311,5287
Greatest Common Factor
We found the factors 62,5287 . The biggest common factor number is the GCF number.
So the greatest common factor 62,5287 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 308/62, 277/5287?
Answer: LCM of Numerators as per given numbers 308/62, 277/5287 is
LCM of Numerators i.e. for 308,277 is 85316
GCF of denominators i.e. for 62,5287 is 1.
Thus, LCM of Fractions is 85316.Finally, LCM of Fractions for 308/62, 277/5287 is 85316.