Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/12, 44/98, 48/60 quickly i.e. 7656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/12, 44/98, 48/60 is 7656.
LCM(29/12, 44/98, 48/60) = 7656
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/12,44/98,48/60
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 29,44,48
Least Common Multiple of Numerators i.e. LCM of 29,44,48 is 15312.
GCF of Denominators means GCF of 12,98,60 as per the given fractions.
GCF of 12,98,60 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,44,48
2 | 29, 44, 48 |
2 | 29, 22, 24 |
29, 11, 12 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 11 x 12 = 15312
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 29,44,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,44,48) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(29,44,48) x common factors =1 x 4 = 4
LCM(29,44,48) = ( 29 × 44 × 48 ) / 4
LCM(29,44,48) = 61248 / 4
LCM(29,44,48) = 15312
Lets's calculate GCF of 12,98,60
2 | 12, 98, 60 |
6, 49, 30 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15312/2
Therefore the LCM of Fractions 29/12,44/98,48/60 is 7656
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Greatest Common Factor
We found the factors 12,98,60 . The biggest common factor number is the GCF number.
So the greatest common factor 12,98,60 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 29/12, 44/98, 48/60?
Answer: LCM of Numerators as per given numbers 29/12, 44/98, 48/60 is
LCM of Numerators i.e. for 29,44,48 is 15312
GCF of denominators i.e. for 12,98,60 is 2.
Thus, LCM of Fractions is 7656.Finally, LCM of Fractions for 29/12, 44/98, 48/60 is 7656.