Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 271/178, 881/511 quickly i.e. 238751 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 271/178, 881/511 is 238751.
LCM(271/178, 881/511) = 238751
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 271/178,881/511
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 271,881
Least Common Multiple of Numerators i.e. LCM of 271,881 is 238751.
GCF of Denominators means GCF of 178,511 as per the given fractions.
GCF of 178,511 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 271,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 238751
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 271,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,881) x common factors =1 x 1 = 1
LCM(271,881) = ( 271 × 881 ) / 1
LCM(271,881) = 238751 / 1
LCM(271,881) = 238751
Lets's calculate GCF of 178,511
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238751/1
Therefore the LCM of Fractions 271/178,881/511 is 238751
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Greatest Common Factor
We found the factors 178,511 . The biggest common factor number is the GCF number.
So the greatest common factor 178,511 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 271/178, 881/511?
Answer: LCM of Numerators as per given numbers 271/178, 881/511 is
LCM of Numerators i.e. for 271,881 is 238751
GCF of denominators i.e. for 178,511 is 1.
Thus, LCM of Fractions is 238751.Finally, LCM of Fractions for 271/178, 881/511 is 238751.