Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/268, 1891/5966 quickly i.e. 100223/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/268, 1891/5966 is 100223/2.
LCM(53/268, 1891/5966) = 100223/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/268,1891/5966
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 53,1891
Least Common Multiple of Numerators i.e. LCM of 53,1891 is 100223.
GCF of Denominators means GCF of 268,5966 as per the given fractions.
GCF of 268,5966 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,1891
Given numbers has no common factors except 1. So, there LCM is their product i.e 100223
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 53,1891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,1891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,1891) x common factors =1 x 1 = 1
LCM(53,1891) = ( 53 × 1891 ) / 1
LCM(53,1891) = 100223 / 1
LCM(53,1891) = 100223
Lets's calculate GCF of 268,5966
2 | 268, 5966 |
134, 2983 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100223/2
Therefore the LCM of Fractions 53/268,1891/5966 is 100223/2
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Factors of 5966
List of positive integer factors of 5966 that divides 5966 without a remainder.
1,2,19,38,157,314,2983,5966
Greatest Common Factor
We found the factors 268,5966 . The biggest common factor number is the GCF number.
So the greatest common factor 268,5966 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 53/268, 1891/5966?
Answer: LCM of Numerators as per given numbers 53/268, 1891/5966 is
LCM of Numerators i.e. for 53,1891 is 100223
GCF of denominators i.e. for 268,5966 is 2.
Thus, LCM of Fractions is 100223/2.Finally, LCM of Fractions for 53/268, 1891/5966 is 100223/2.