Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3676/885, 3720/4887 quickly i.e. 1139560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3676/885, 3720/4887 is 1139560.
LCM(3676/885, 3720/4887) = 1139560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3676/885,3720/4887
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 3676,3720
Least Common Multiple of Numerators i.e. LCM of 3676,3720 is 3418680.
GCF of Denominators means GCF of 885,4887 as per the given fractions.
GCF of 885,4887 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3676,3720
2 | 3676, 3720 |
2 | 1838, 1860 |
919, 930 |
∴ So the LCM of the given numbers is 2 x 2 x 919 x 930 = 3418680
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 3676,3720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3676,3720) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(3676,3720) x common factors =4 x 1 = 4
LCM(3676,3720) = ( 3676 × 3720 ) / 4
LCM(3676,3720) = 13674720 / 4
LCM(3676,3720) = 3418680
Lets's calculate GCF of 885,4887
3 | 885, 4887 |
295, 1629 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3418680/3
Therefore the LCM of Fractions 3676/885,3720/4887 is 1139560
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 4887
List of positive integer factors of 4887 that divides 4887 without a remainder.
1,3,9,27,181,543,1629,4887
Greatest Common Factor
We found the factors 885,4887 . The biggest common factor number is the GCF number.
So the greatest common factor 885,4887 is 3.
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 3676/885, 3720/4887?
Answer: LCM of Numerators as per given numbers 3676/885, 3720/4887 is
LCM of Numerators i.e. for 3676,3720 is 3418680
GCF of denominators i.e. for 885,4887 is 3.
Thus, LCM of Fractions is 1139560.Finally, LCM of Fractions for 3676/885, 3720/4887 is 1139560.