Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/720, 34/847 quickly i.e. 2754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/720, 34/847 is 2754.
LCM(81/720, 34/847) = 2754
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/720,34/847
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 81,34
Least Common Multiple of Numerators i.e. LCM of 81,34 is 2754.
GCF of Denominators means GCF of 720,847 as per the given fractions.
GCF of 720,847 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,34
Given numbers has no common factors except 1. So, there LCM is their product i.e 2754
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 81,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,34) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,34) x common factors =1 x 1 = 1
LCM(81,34) = ( 81 × 34 ) / 1
LCM(81,34) = 2754 / 1
LCM(81,34) = 2754
Lets's calculate GCF of 720,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2754/1
Therefore the LCM of Fractions 81/720,34/847 is 2754
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Greatest Common Factor
We found the factors 720,847 . The biggest common factor number is the GCF number.
So the greatest common factor 720,847 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 81/720, 34/847?
Answer: LCM of Numerators as per given numbers 81/720, 34/847 is
LCM of Numerators i.e. for 81,34 is 2754
GCF of denominators i.e. for 720,847 is 1.
Thus, LCM of Fractions is 2754.Finally, LCM of Fractions for 81/720, 34/847 is 2754.