Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 988/96, 133/53, 323/843 quickly i.e. 117572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 988/96, 133/53, 323/843 is 117572.
LCM(988/96, 133/53, 323/843) = 117572
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 988/96,133/53,323/843
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 988,133,323
Least Common Multiple of Numerators i.e. LCM of 988,133,323 is 117572.
GCF of Denominators means GCF of 96,53,843 as per the given fractions.
GCF of 96,53,843 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 988,133,323
19 | 988, 133, 323 |
52, 7, 17 |
∴ So the LCM of the given numbers is 19 x 52 x 7 x 17 = 117572
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 988,133,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,133,323) = 19
common factors(in case of two or more numbers have common factors) = 19
GCF(988,133,323) x common factors =19 x 19 = 361
LCM(988,133,323) = ( 988 × 133 × 323 ) / 361
LCM(988,133,323) = 42443492 / 361
LCM(988,133,323) = 117572
Lets's calculate GCF of 96,53,843
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117572/1
Therefore the LCM of Fractions 988/96,133/53,323/843 is 117572
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
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Greatest Common Factor
We found the factors 96,53,843 . The biggest common factor number is the GCF number.
So the greatest common factor 96,53,843 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 988/96, 133/53, 323/843?
Answer: LCM of Numerators as per given numbers 988/96, 133/53, 323/843 is
LCM of Numerators i.e. for 988,133,323 is 117572
GCF of denominators i.e. for 96,53,843 is 1.
Thus, LCM of Fractions is 117572.Finally, LCM of Fractions for 988/96, 133/53, 323/843 is 117572.