Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 253/199, 4136/242 quickly i.e. 95128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 253/199, 4136/242 is 95128.
LCM(253/199, 4136/242) = 95128
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 253/199,4136/242
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 253,4136
Least Common Multiple of Numerators i.e. LCM of 253,4136 is 95128.
GCF of Denominators means GCF of 199,242 as per the given fractions.
GCF of 199,242 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 253,4136
11 | 253, 4136 |
23, 376 |
∴ So the LCM of the given numbers is 11 x 23 x 376 = 95128
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 253,4136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,4136) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(253,4136) x common factors =11 x 1 = 11
LCM(253,4136) = ( 253 × 4136 ) / 11
LCM(253,4136) = 1046408 / 11
LCM(253,4136) = 95128
Lets's calculate GCF of 199,242
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95128/1
Therefore the LCM of Fractions 253/199,4136/242 is 95128
Factors of 199
List of positive integer factors of 199 that divides 199 without a remainder.
1,199
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Greatest Common Factor
We found the factors 199,242 . The biggest common factor number is the GCF number.
So the greatest common factor 199,242 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 253/199, 4136/242?
Answer: LCM of Numerators as per given numbers 253/199, 4136/242 is
LCM of Numerators i.e. for 253,4136 is 95128
GCF of denominators i.e. for 199,242 is 1.
Thus, LCM of Fractions is 95128.Finally, LCM of Fractions for 253/199, 4136/242 is 95128.