Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 296/96, 637/54, 116/100 quickly i.e. 2734004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 296/96, 637/54, 116/100 is 2734004.
LCM(296/96, 637/54, 116/100) = 2734004
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 296/96,637/54,116/100
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 296,637,116
Least Common Multiple of Numerators i.e. LCM of 296,637,116 is 5468008.
GCF of Denominators means GCF of 96,54,100 as per the given fractions.
GCF of 96,54,100 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 296,637,116
2 | 296, 637, 116 |
2 | 148, 637, 58 |
74, 637, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 74 x 637 x 29 = 5468008
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 296,637,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,637,116) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(296,637,116) x common factors =1 x 4 = 4
LCM(296,637,116) = ( 296 × 637 × 116 ) / 4
LCM(296,637,116) = 21872032 / 4
LCM(296,637,116) = 5468008
Lets's calculate GCF of 96,54,100
2 | 96, 54, 100 |
48, 27, 50 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5468008/2
Therefore the LCM of Fractions 296/96,637/54,116/100 is 2734004
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 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
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 96,54,100 . The biggest common factor number is the GCF number.
So the greatest common factor 96,54,100 is 2.
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 296/96, 637/54, 116/100?
Answer: LCM of Numerators as per given numbers 296/96, 637/54, 116/100 is
LCM of Numerators i.e. for 296,637,116 is 5468008
GCF of denominators i.e. for 96,54,100 is 2.
Thus, LCM of Fractions is 2734004.Finally, LCM of Fractions for 296/96, 637/54, 116/100 is 2734004.