Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2274/494, 9377/5558 quickly i.e. 10661649 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2274/494, 9377/5558 is 10661649.
LCM(2274/494, 9377/5558) = 10661649
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2274/494,9377/5558
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 2274,9377
Least Common Multiple of Numerators i.e. LCM of 2274,9377 is 21323298.
GCF of Denominators means GCF of 494,5558 as per the given fractions.
GCF of 494,5558 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2274,9377
Given numbers has no common factors except 1. So, there LCM is their product i.e 21323298
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 2274,9377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2274,9377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2274,9377) x common factors =1 x 1 = 1
LCM(2274,9377) = ( 2274 × 9377 ) / 1
LCM(2274,9377) = 21323298 / 1
LCM(2274,9377) = 21323298
Lets's calculate GCF of 494,5558
2 | 494, 5558 |
247, 2779 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21323298/2
Therefore the LCM of Fractions 2274/494,9377/5558 is 10661649
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 5558
List of positive integer factors of 5558 that divides 5558 without a remainder.
1,2,7,14,397,794,2779,5558
Greatest Common Factor
We found the factors 494,5558 . The biggest common factor number is the GCF number.
So the greatest common factor 494,5558 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 2274/494, 9377/5558?
Answer: LCM of Numerators as per given numbers 2274/494, 9377/5558 is
LCM of Numerators i.e. for 2274,9377 is 21323298
GCF of denominators i.e. for 494,5558 is 2.
Thus, LCM of Fractions is 10661649.Finally, LCM of Fractions for 2274/494, 9377/5558 is 10661649.