Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3148/657, 1578/1928 quickly i.e. 2483772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3148/657, 1578/1928 is 2483772.
LCM(3148/657, 1578/1928) = 2483772
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3148/657,1578/1928
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 3148,1578
Least Common Multiple of Numerators i.e. LCM of 3148,1578 is 2483772.
GCF of Denominators means GCF of 657,1928 as per the given fractions.
GCF of 657,1928 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3148,1578
2 | 3148, 1578 |
1574, 789 |
∴ So the LCM of the given numbers is 2 x 1574 x 789 = 2483772
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 3148,1578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3148,1578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3148,1578) x common factors =2 x 1 = 2
LCM(3148,1578) = ( 3148 × 1578 ) / 2
LCM(3148,1578) = 4967544 / 2
LCM(3148,1578) = 2483772
Lets's calculate GCF of 657,1928
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2483772/1
Therefore the LCM of Fractions 3148/657,1578/1928 is 2483772
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Factors of 1928
List of positive integer factors of 1928 that divides 1928 without a remainder.
1,2,4,8,241,482,964,1928
Greatest Common Factor
We found the factors 657,1928 . The biggest common factor number is the GCF number.
So the greatest common factor 657,1928 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 3148/657, 1578/1928?
Answer: LCM of Numerators as per given numbers 3148/657, 1578/1928 is
LCM of Numerators i.e. for 3148,1578 is 2483772
GCF of denominators i.e. for 657,1928 is 1.
Thus, LCM of Fractions is 2483772.Finally, LCM of Fractions for 3148/657, 1578/1928 is 2483772.