Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7884/638, 6736/5887 quickly i.e. 13276656/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7884/638, 6736/5887 is 13276656/29.
LCM(7884/638, 6736/5887) = 13276656/29
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7884/638,6736/5887
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 7884,6736
Least Common Multiple of Numerators i.e. LCM of 7884,6736 is 13276656.
GCF of Denominators means GCF of 638,5887 as per the given fractions.
GCF of 638,5887 is 29 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7884,6736
2 | 7884, 6736 |
2 | 3942, 3368 |
1971, 1684 |
∴ So the LCM of the given numbers is 2 x 2 x 1971 x 1684 = 13276656
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 7884,6736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7884,6736) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(7884,6736) x common factors =4 x 1 = 4
LCM(7884,6736) = ( 7884 × 6736 ) / 4
LCM(7884,6736) = 53106624 / 4
LCM(7884,6736) = 13276656
Lets's calculate GCF of 638,5887
29 | 638, 5887 |
22, 203 |
∴ So the GCF of the given numbers is 29 = 29
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13276656/29
Therefore the LCM of Fractions 7884/638,6736/5887 is 13276656/29
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 5887
List of positive integer factors of 5887 that divides 5887 without a remainder.
1,7,29,203,841,5887
Greatest Common Factor
We found the factors 638,5887 . The biggest common factor number is the GCF number.
So the greatest common factor 638,5887 is 29.
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 7884/638, 6736/5887?
Answer: LCM of Numerators as per given numbers 7884/638, 6736/5887 is
LCM of Numerators i.e. for 7884,6736 is 13276656
GCF of denominators i.e. for 638,5887 is 29.
Thus, LCM of Fractions is 13276656/29.Finally, LCM of Fractions for 7884/638, 6736/5887 is 13276656/29.