Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/276, 2736/7681 quickly i.e. 13680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/276, 2736/7681 is 13680.
LCM(80/276, 2736/7681) = 13680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/276,2736/7681
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 80,2736
Least Common Multiple of Numerators i.e. LCM of 80,2736 is 13680.
GCF of Denominators means GCF of 276,7681 as per the given fractions.
GCF of 276,7681 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,2736
2 | 80, 2736 |
2 | 40, 1368 |
2 | 20, 684 |
2 | 10, 342 |
5, 171 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 171 = 13680
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 80,2736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,2736) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(80,2736) x common factors =16 x 1 = 16
LCM(80,2736) = ( 80 × 2736 ) / 16
LCM(80,2736) = 218880 / 16
LCM(80,2736) = 13680
Lets's calculate GCF of 276,7681
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13680/1
Therefore the LCM of Fractions 80/276,2736/7681 is 13680
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Factors of 7681
List of positive integer factors of 7681 that divides 7681 without a remainder.
1,7681
Greatest Common Factor
We found the factors 276,7681 . The biggest common factor number is the GCF number.
So the greatest common factor 276,7681 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 80/276, 2736/7681?
Answer: LCM of Numerators as per given numbers 80/276, 2736/7681 is
LCM of Numerators i.e. for 80,2736 is 13680
GCF of denominators i.e. for 276,7681 is 1.
Thus, LCM of Fractions is 13680.Finally, LCM of Fractions for 80/276, 2736/7681 is 13680.