Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/28, 96/62, 13/876 quickly i.e. 60528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/28, 96/62, 13/876 is 60528.
LCM(97/28, 96/62, 13/876) = 60528
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/28,96/62,13/876
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 97,96,13
Least Common Multiple of Numerators i.e. LCM of 97,96,13 is 121056.
GCF of Denominators means GCF of 28,62,876 as per the given fractions.
GCF of 28,62,876 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,96,13
Given numbers has no common factors except 1. So, there LCM is their product i.e 121056
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 97,96,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,96,13) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,96,13) x common factors =1 x 1 = 1
LCM(97,96,13) = ( 97 × 96 × 13 ) / 1
LCM(97,96,13) = 121056 / 1
LCM(97,96,13) = 121056
Lets's calculate GCF of 28,62,876
2 | 28, 62, 876 |
14, 31, 438 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121056/2
Therefore the LCM of Fractions 97/28,96/62,13/876 is 60528
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 28,62,876 . The biggest common factor number is the GCF number.
So the greatest common factor 28,62,876 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 97/28, 96/62, 13/876?
Answer: LCM of Numerators as per given numbers 97/28, 96/62, 13/876 is
LCM of Numerators i.e. for 97,96,13 is 121056
GCF of denominators i.e. for 28,62,876 is 2.
Thus, LCM of Fractions is 60528.Finally, LCM of Fractions for 97/28, 96/62, 13/876 is 60528.