Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/422, 6118/5634 quickly i.e. 67298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/422, 6118/5634 is 67298.
LCM(44/422, 6118/5634) = 67298
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/422,6118/5634
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 44,6118
Least Common Multiple of Numerators i.e. LCM of 44,6118 is 134596.
GCF of Denominators means GCF of 422,5634 as per the given fractions.
GCF of 422,5634 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,6118
2 | 44, 6118 |
22, 3059 |
∴ So the LCM of the given numbers is 2 x 22 x 3059 = 134596
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 44,6118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,6118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(44,6118) x common factors =2 x 1 = 2
LCM(44,6118) = ( 44 × 6118 ) / 2
LCM(44,6118) = 269192 / 2
LCM(44,6118) = 134596
Lets's calculate GCF of 422,5634
2 | 422, 5634 |
211, 2817 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134596/2
Therefore the LCM of Fractions 44/422,6118/5634 is 67298
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Factors of 5634
List of positive integer factors of 5634 that divides 5634 without a remainder.
1,2,3,6,9,18,313,626,939,1878,2817,5634
Greatest Common Factor
We found the factors 422,5634 . The biggest common factor number is the GCF number.
So the greatest common factor 422,5634 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 44/422, 6118/5634?
Answer: LCM of Numerators as per given numbers 44/422, 6118/5634 is
LCM of Numerators i.e. for 44,6118 is 134596
GCF of denominators i.e. for 422,5634 is 2.
Thus, LCM of Fractions is 67298.Finally, LCM of Fractions for 44/422, 6118/5634 is 67298.