Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 241/78, 168/6124 quickly i.e. 20244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 241/78, 168/6124 is 20244.
LCM(241/78, 168/6124) = 20244
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 241/78,168/6124
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 241,168
Least Common Multiple of Numerators i.e. LCM of 241,168 is 40488.
GCF of Denominators means GCF of 78,6124 as per the given fractions.
GCF of 78,6124 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 241,168
Given numbers has no common factors except 1. So, there LCM is their product i.e 40488
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 241,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,168) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,168) x common factors =1 x 1 = 1
LCM(241,168) = ( 241 × 168 ) / 1
LCM(241,168) = 40488 / 1
LCM(241,168) = 40488
Lets's calculate GCF of 78,6124
2 | 78, 6124 |
39, 3062 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40488/2
Therefore the LCM of Fractions 241/78,168/6124 is 20244
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 6124
List of positive integer factors of 6124 that divides 6124 without a remainder.
1,2,4,1531,3062,6124
Greatest Common Factor
We found the factors 78,6124 . The biggest common factor number is the GCF number.
So the greatest common factor 78,6124 is 2.
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 241/78, 168/6124?
Answer: LCM of Numerators as per given numbers 241/78, 168/6124 is
LCM of Numerators i.e. for 241,168 is 40488
GCF of denominators i.e. for 78,6124 is 2.
Thus, LCM of Fractions is 20244.Finally, LCM of Fractions for 241/78, 168/6124 is 20244.