Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/102, 2379/3359 quickly i.e. 42822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/102, 2379/3359 is 42822.
LCM(54/102, 2379/3359) = 42822
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/102,2379/3359
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 54,2379
Least Common Multiple of Numerators i.e. LCM of 54,2379 is 42822.
GCF of Denominators means GCF of 102,3359 as per the given fractions.
GCF of 102,3359 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,2379
3 | 54, 2379 |
18, 793 |
∴ So the LCM of the given numbers is 3 x 18 x 793 = 42822
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 54,2379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,2379) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(54,2379) x common factors =3 x 1 = 3
LCM(54,2379) = ( 54 × 2379 ) / 3
LCM(54,2379) = 128466 / 3
LCM(54,2379) = 42822
Lets's calculate GCF of 102,3359
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42822/1
Therefore the LCM of Fractions 54/102,2379/3359 is 42822
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Factors of 3359
List of positive integer factors of 3359 that divides 3359 without a remainder.
1,3359
Greatest Common Factor
We found the factors 102,3359 . The biggest common factor number is the GCF number.
So the greatest common factor 102,3359 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 54/102, 2379/3359?
Answer: LCM of Numerators as per given numbers 54/102, 2379/3359 is
LCM of Numerators i.e. for 54,2379 is 42822
GCF of denominators i.e. for 102,3359 is 1.
Thus, LCM of Fractions is 42822.Finally, LCM of Fractions for 54/102, 2379/3359 is 42822.