Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 657/45, 351/1268 quickly i.e. 25623 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 657/45, 351/1268 is 25623.
LCM(657/45, 351/1268) = 25623
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 657/45,351/1268
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 657,351
Least Common Multiple of Numerators i.e. LCM of 657,351 is 25623.
GCF of Denominators means GCF of 45,1268 as per the given fractions.
GCF of 45,1268 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 657,351
3 | 657, 351 |
3 | 219, 117 |
73, 39 |
∴ So the LCM of the given numbers is 3 x 3 x 73 x 39 = 25623
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 657,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,351) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(657,351) x common factors =9 x 1 = 9
LCM(657,351) = ( 657 × 351 ) / 9
LCM(657,351) = 230607 / 9
LCM(657,351) = 25623
Lets's calculate GCF of 45,1268
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25623/1
Therefore the LCM of Fractions 657/45,351/1268 is 25623
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 1268
List of positive integer factors of 1268 that divides 1268 without a remainder.
1,2,4,317,634,1268
Greatest Common Factor
We found the factors 45,1268 . The biggest common factor number is the GCF number.
So the greatest common factor 45,1268 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 657/45, 351/1268?
Answer: LCM of Numerators as per given numbers 657/45, 351/1268 is
LCM of Numerators i.e. for 657,351 is 25623
GCF of denominators i.e. for 45,1268 is 1.
Thus, LCM of Fractions is 25623.Finally, LCM of Fractions for 657/45, 351/1268 is 25623.