Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 351/543, 227/872 quickly i.e. 79677 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 351/543, 227/872 is 79677.
LCM(351/543, 227/872) = 79677
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 351/543,227/872
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 351,227
Least Common Multiple of Numerators i.e. LCM of 351,227 is 79677.
GCF of Denominators means GCF of 543,872 as per the given fractions.
GCF of 543,872 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 351,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 79677
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 351,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(351,227) x common factors =1 x 1 = 1
LCM(351,227) = ( 351 × 227 ) / 1
LCM(351,227) = 79677 / 1
LCM(351,227) = 79677
Lets's calculate GCF of 543,872
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79677/1
Therefore the LCM of Fractions 351/543,227/872 is 79677
Factors of 543
List of positive integer factors of 543 that divides 543 without a remainder.
1,3,181,543
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 543,872 . The biggest common factor number is the GCF number.
So the greatest common factor 543,872 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 351/543, 227/872?
Answer: LCM of Numerators as per given numbers 351/543, 227/872 is
LCM of Numerators i.e. for 351,227 is 79677
GCF of denominators i.e. for 543,872 is 1.
Thus, LCM of Fractions is 79677.Finally, LCM of Fractions for 351/543, 227/872 is 79677.