Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8884/745, 4112/2742 quickly i.e. 9132752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8884/745, 4112/2742 is 9132752.
LCM(8884/745, 4112/2742) = 9132752
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8884/745,4112/2742
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 8884,4112
Least Common Multiple of Numerators i.e. LCM of 8884,4112 is 9132752.
GCF of Denominators means GCF of 745,2742 as per the given fractions.
GCF of 745,2742 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8884,4112
2 | 8884, 4112 |
2 | 4442, 2056 |
2221, 1028 |
∴ So the LCM of the given numbers is 2 x 2 x 2221 x 1028 = 9132752
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 8884,4112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8884,4112) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(8884,4112) x common factors =4 x 1 = 4
LCM(8884,4112) = ( 8884 × 4112 ) / 4
LCM(8884,4112) = 36531008 / 4
LCM(8884,4112) = 9132752
Lets's calculate GCF of 745,2742
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9132752/1
Therefore the LCM of Fractions 8884/745,4112/2742 is 9132752
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Factors of 2742
List of positive integer factors of 2742 that divides 2742 without a remainder.
1,2,3,6,457,914,1371,2742
Greatest Common Factor
We found the factors 745,2742 . The biggest common factor number is the GCF number.
So the greatest common factor 745,2742 is 1.
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 8884/745, 4112/2742?
Answer: LCM of Numerators as per given numbers 8884/745, 4112/2742 is
LCM of Numerators i.e. for 8884,4112 is 9132752
GCF of denominators i.e. for 745,2742 is 1.
Thus, LCM of Fractions is 9132752.Finally, LCM of Fractions for 8884/745, 4112/2742 is 9132752.