Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 657/244, 897/195 quickly i.e. 196443 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 657/244, 897/195 is 196443.
LCM(657/244, 897/195) = 196443
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 657/244,897/195
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 657,897
Least Common Multiple of Numerators i.e. LCM of 657,897 is 196443.
GCF of Denominators means GCF of 244,195 as per the given fractions.
GCF of 244,195 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 657,897
3 | 657, 897 |
219, 299 |
∴ So the LCM of the given numbers is 3 x 219 x 299 = 196443
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 657,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,897) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(657,897) x common factors =3 x 1 = 3
LCM(657,897) = ( 657 × 897 ) / 3
LCM(657,897) = 589329 / 3
LCM(657,897) = 196443
Lets's calculate GCF of 244,195
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196443/1
Therefore the LCM of Fractions 657/244,897/195 is 196443
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 244,195 . The biggest common factor number is the GCF number.
So the greatest common factor 244,195 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 657/244, 897/195?
Answer: LCM of Numerators as per given numbers 657/244, 897/195 is
LCM of Numerators i.e. for 657,897 is 196443
GCF of denominators i.e. for 244,195 is 1.
Thus, LCM of Fractions is 196443.Finally, LCM of Fractions for 657/244, 897/195 is 196443.