Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9728/875, 9654/1976 quickly i.e. 46957056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9728/875, 9654/1976 is 46957056.
LCM(9728/875, 9654/1976) = 46957056
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9728/875,9654/1976
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 9728,9654
Least Common Multiple of Numerators i.e. LCM of 9728,9654 is 46957056.
GCF of Denominators means GCF of 875,1976 as per the given fractions.
GCF of 875,1976 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9728,9654
2 | 9728, 9654 |
4864, 4827 |
∴ So the LCM of the given numbers is 2 x 4864 x 4827 = 46957056
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 9728,9654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9728,9654) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9728,9654) x common factors =2 x 1 = 2
LCM(9728,9654) = ( 9728 × 9654 ) / 2
LCM(9728,9654) = 93914112 / 2
LCM(9728,9654) = 46957056
Lets's calculate GCF of 875,1976
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46957056/1
Therefore the LCM of Fractions 9728/875,9654/1976 is 46957056
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 1976
List of positive integer factors of 1976 that divides 1976 without a remainder.
1,2,4,8,13,19,26,38,52,76,104,152,247,494,988,1976
Greatest Common Factor
We found the factors 875,1976 . The biggest common factor number is the GCF number.
So the greatest common factor 875,1976 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 9728/875, 9654/1976?
Answer: LCM of Numerators as per given numbers 9728/875, 9654/1976 is
LCM of Numerators i.e. for 9728,9654 is 46957056
GCF of denominators i.e. for 875,1976 is 1.
Thus, LCM of Fractions is 46957056.Finally, LCM of Fractions for 9728/875, 9654/1976 is 46957056.