Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 127/427, 574/718 quickly i.e. 72898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 127/427, 574/718 is 72898.
LCM(127/427, 574/718) = 72898
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 127/427,574/718
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 127,574
Least Common Multiple of Numerators i.e. LCM of 127,574 is 72898.
GCF of Denominators means GCF of 427,718 as per the given fractions.
GCF of 427,718 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 127,574
Given numbers has no common factors except 1. So, there LCM is their product i.e 72898
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 127,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,574) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,574) x common factors =1 x 1 = 1
LCM(127,574) = ( 127 × 574 ) / 1
LCM(127,574) = 72898 / 1
LCM(127,574) = 72898
Lets's calculate GCF of 427,718
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72898/1
Therefore the LCM of Fractions 127/427,574/718 is 72898
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Greatest Common Factor
We found the factors 427,718 . The biggest common factor number is the GCF number.
So the greatest common factor 427,718 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 127/427, 574/718?
Answer: LCM of Numerators as per given numbers 127/427, 574/718 is
LCM of Numerators i.e. for 127,574 is 72898
GCF of denominators i.e. for 427,718 is 1.
Thus, LCM of Fractions is 72898.Finally, LCM of Fractions for 127/427, 574/718 is 72898.