Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/27, 226/96, 613/53 quickly i.e. 12884034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/27, 226/96, 613/53 is 12884034.
LCM(93/27, 226/96, 613/53) = 12884034
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/27,226/96,613/53
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 93,226,613
Least Common Multiple of Numerators i.e. LCM of 93,226,613 is 12884034.
GCF of Denominators means GCF of 27,96,53 as per the given fractions.
GCF of 27,96,53 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,226,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 12884034
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 93,226,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,226,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,226,613) x common factors =1 x 1 = 1
LCM(93,226,613) = ( 93 × 226 × 613 ) / 1
LCM(93,226,613) = 12884034 / 1
LCM(93,226,613) = 12884034
Lets's calculate GCF of 27,96,53
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12884034/1
Therefore the LCM of Fractions 93/27,226/96,613/53 is 12884034
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Greatest Common Factor
We found the factors 27,96,53 . The biggest common factor number is the GCF number.
So the greatest common factor 27,96,53 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 93/27, 226/96, 613/53?
Answer: LCM of Numerators as per given numbers 93/27, 226/96, 613/53 is
LCM of Numerators i.e. for 93,226,613 is 12884034
GCF of denominators i.e. for 27,96,53 is 1.
Thus, LCM of Fractions is 12884034.Finally, LCM of Fractions for 93/27, 226/96, 613/53 is 12884034.