Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 237/427, 6768/517 quickly i.e. 534672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 237/427, 6768/517 is 534672.
LCM(237/427, 6768/517) = 534672
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 237/427,6768/517
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 237,6768
Least Common Multiple of Numerators i.e. LCM of 237,6768 is 534672.
GCF of Denominators means GCF of 427,517 as per the given fractions.
GCF of 427,517 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 237,6768
3 | 237, 6768 |
79, 2256 |
∴ So the LCM of the given numbers is 3 x 79 x 2256 = 534672
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 237,6768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,6768) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(237,6768) x common factors =3 x 1 = 3
LCM(237,6768) = ( 237 × 6768 ) / 3
LCM(237,6768) = 1604016 / 3
LCM(237,6768) = 534672
Lets's calculate GCF of 427,517
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 534672/1
Therefore the LCM of Fractions 237/427,6768/517 is 534672
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Greatest Common Factor
We found the factors 427,517 . The biggest common factor number is the GCF number.
So the greatest common factor 427,517 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 237/427, 6768/517?
Answer: LCM of Numerators as per given numbers 237/427, 6768/517 is
LCM of Numerators i.e. for 237,6768 is 534672
GCF of denominators i.e. for 427,517 is 1.
Thus, LCM of Fractions is 534672.Finally, LCM of Fractions for 237/427, 6768/517 is 534672.