Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 548/640, 463/807, 963/814 quickly i.e. 244336212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 548/640, 463/807, 963/814 is 244336212.
LCM(548/640, 463/807, 963/814) = 244336212
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 548/640,463/807,963/814
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 548,463,963
Least Common Multiple of Numerators i.e. LCM of 548,463,963 is 244336212.
GCF of Denominators means GCF of 640,807,814 as per the given fractions.
GCF of 640,807,814 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 548,463,963
Given numbers has no common factors except 1. So, there LCM is their product i.e 244336212
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 548,463,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,463,963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,463,963) x common factors =1 x 1 = 1
LCM(548,463,963) = ( 548 × 463 × 963 ) / 1
LCM(548,463,963) = 244336212 / 1
LCM(548,463,963) = 244336212
Lets's calculate GCF of 640,807,814
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244336212/1
Therefore the LCM of Fractions 548/640,463/807,963/814 is 244336212
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Greatest Common Factor
We found the factors 640,807,814 . The biggest common factor number is the GCF number.
So the greatest common factor 640,807,814 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 548/640, 463/807, 963/814?
Answer: LCM of Numerators as per given numbers 548/640, 463/807, 963/814 is
LCM of Numerators i.e. for 548,463,963 is 244336212
GCF of denominators i.e. for 640,807,814 is 1.
Thus, LCM of Fractions is 244336212.Finally, LCM of Fractions for 548/640, 463/807, 963/814 is 244336212.