Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/57, 62/57, 44/48, 60/100 quickly i.e. 81840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/57, 62/57, 44/48, 60/100 is 81840.
LCM(80/57, 62/57, 44/48, 60/100) = 81840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/57,62/57,44/48,60/100
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 80,62,44,60
Least Common Multiple of Numerators i.e. LCM of 80,62,44,60 is 81840.
GCF of Denominators means GCF of 57,57,48,100 as per the given fractions.
GCF of 57,57,48,100 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,62,44,60
2 | 80, 62, 44, 60 |
2 | 40, 31, 22, 30 |
5 | 20, 31, 11, 15 |
4, 31, 11, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 4 x 31 x 11 x 3 = 81840
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 80,62,44,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,62,44,60) = 2
common factors(in case of two or more numbers have common factors) = 80
GCF(80,62,44,60) x common factors =2 x 80 = 160
LCM(80,62,44,60) = ( 80 × 62 × 44 × 60 ) / 160
LCM(80,62,44,60) = 13094400 / 160
LCM(80,62,44,60) = 81840
Lets's calculate GCF of 57,57,48,100
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81840/1
Therefore the LCM of Fractions 80/57,62/57,44/48,60/100 is 81840
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors 57,57,48,100 . The biggest common factor number is the GCF number.
So the greatest common factor 57,57,48,100 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 80/57, 62/57, 44/48, 60/100?
Answer: LCM of Numerators as per given numbers 80/57, 62/57, 44/48, 60/100 is
LCM of Numerators i.e. for 80,62,44,60 is 81840
GCF of denominators i.e. for 57,57,48,100 is 1.
Thus, LCM of Fractions is 81840.Finally, LCM of Fractions for 80/57, 62/57, 44/48, 60/100 is 81840.