Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2268/498, 5137/393 quickly i.e. 3883572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2268/498, 5137/393 is 3883572.
LCM(2268/498, 5137/393) = 3883572
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2268/498,5137/393
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 2268,5137
Least Common Multiple of Numerators i.e. LCM of 2268,5137 is 11650716.
GCF of Denominators means GCF of 498,393 as per the given fractions.
GCF of 498,393 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2268,5137
Given numbers has no common factors except 1. So, there LCM is their product i.e 11650716
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 2268,5137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2268,5137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2268,5137) x common factors =1 x 1 = 1
LCM(2268,5137) = ( 2268 × 5137 ) / 1
LCM(2268,5137) = 11650716 / 1
LCM(2268,5137) = 11650716
Lets's calculate GCF of 498,393
3 | 498, 393 |
166, 131 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11650716/3
Therefore the LCM of Fractions 2268/498,5137/393 is 3883572
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Greatest Common Factor
We found the factors 498,393 . The biggest common factor number is the GCF number.
So the greatest common factor 498,393 is 3.
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 2268/498, 5137/393?
Answer: LCM of Numerators as per given numbers 2268/498, 5137/393 is
LCM of Numerators i.e. for 2268,5137 is 11650716
GCF of denominators i.e. for 498,393 is 3.
Thus, LCM of Fractions is 3883572.Finally, LCM of Fractions for 2268/498, 5137/393 is 3883572.