Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2271/426, 4280/2936 quickly i.e. 4859940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2271/426, 4280/2936 is 4859940.
LCM(2271/426, 4280/2936) = 4859940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2271/426,4280/2936
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 2271,4280
Least Common Multiple of Numerators i.e. LCM of 2271,4280 is 9719880.
GCF of Denominators means GCF of 426,2936 as per the given fractions.
GCF of 426,2936 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2271,4280
Given numbers has no common factors except 1. So, there LCM is their product i.e 9719880
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 2271,4280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2271,4280) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2271,4280) x common factors =1 x 1 = 1
LCM(2271,4280) = ( 2271 × 4280 ) / 1
LCM(2271,4280) = 9719880 / 1
LCM(2271,4280) = 9719880
Lets's calculate GCF of 426,2936
2 | 426, 2936 |
213, 1468 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9719880/2
Therefore the LCM of Fractions 2271/426,4280/2936 is 4859940
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 2936
List of positive integer factors of 2936 that divides 2936 without a remainder.
1,2,4,8,367,734,1468,2936
Greatest Common Factor
We found the factors 426,2936 . The biggest common factor number is the GCF number.
So the greatest common factor 426,2936 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 2271/426, 4280/2936?
Answer: LCM of Numerators as per given numbers 2271/426, 4280/2936 is
LCM of Numerators i.e. for 2271,4280 is 9719880
GCF of denominators i.e. for 426,2936 is 2.
Thus, LCM of Fractions is 4859940.Finally, LCM of Fractions for 2271/426, 4280/2936 is 4859940.