Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 493/80, 256/41, 161/714 quickly i.e. 20319488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 493/80, 256/41, 161/714 is 20319488.
LCM(493/80, 256/41, 161/714) = 20319488
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 493/80,256/41,161/714
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 493,256,161
Least Common Multiple of Numerators i.e. LCM of 493,256,161 is 20319488.
GCF of Denominators means GCF of 80,41,714 as per the given fractions.
GCF of 80,41,714 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 493,256,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 20319488
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 493,256,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,256,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,256,161) x common factors =1 x 1 = 1
LCM(493,256,161) = ( 493 × 256 × 161 ) / 1
LCM(493,256,161) = 20319488 / 1
LCM(493,256,161) = 20319488
Lets's calculate GCF of 80,41,714
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20319488/1
Therefore the LCM of Fractions 493/80,256/41,161/714 is 20319488
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 80,41,714 . The biggest common factor number is the GCF number.
So the greatest common factor 80,41,714 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 493/80, 256/41, 161/714?
Answer: LCM of Numerators as per given numbers 493/80, 256/41, 161/714 is
LCM of Numerators i.e. for 493,256,161 is 20319488
GCF of denominators i.e. for 80,41,714 is 1.
Thus, LCM of Fractions is 20319488.Finally, LCM of Fractions for 493/80, 256/41, 161/714 is 20319488.