Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/31, 493/29, 116/748 quickly i.e. 47328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/31, 493/29, 116/748 is 47328.
LCM(96/31, 493/29, 116/748) = 47328
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/31,493/29,116/748
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 96,493,116
Least Common Multiple of Numerators i.e. LCM of 96,493,116 is 47328.
GCF of Denominators means GCF of 31,29,748 as per the given fractions.
GCF of 31,29,748 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,493,116
2 | 96, 493, 116 |
2 | 48, 493, 58 |
29 | 24, 493, 29 |
24, 17, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 24 x 17 x 1 = 47328
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 96,493,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,493,116) = 1
common factors(in case of two or more numbers have common factors) = 116
GCF(96,493,116) x common factors =1 x 116 = 116
LCM(96,493,116) = ( 96 × 493 × 116 ) / 116
LCM(96,493,116) = 5490048 / 116
LCM(96,493,116) = 47328
Lets's calculate GCF of 31,29,748
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47328/1
Therefore the LCM of Fractions 96/31,493/29,116/748 is 47328
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 31,29,748 . The biggest common factor number is the GCF number.
So the greatest common factor 31,29,748 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 96/31, 493/29, 116/748?
Answer: LCM of Numerators as per given numbers 96/31, 493/29, 116/748 is
LCM of Numerators i.e. for 96,493,116 is 47328
GCF of denominators i.e. for 31,29,748 is 1.
Thus, LCM of Fractions is 47328.Finally, LCM of Fractions for 96/31, 493/29, 116/748 is 47328.