Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1059/297, 1352/771 quickly i.e. 477256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1059/297, 1352/771 is 477256.
LCM(1059/297, 1352/771) = 477256
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1059/297,1352/771
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 1059,1352
Least Common Multiple of Numerators i.e. LCM of 1059,1352 is 1431768.
GCF of Denominators means GCF of 297,771 as per the given fractions.
GCF of 297,771 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1059,1352
Given numbers has no common factors except 1. So, there LCM is their product i.e 1431768
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 1059,1352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1059,1352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1059,1352) x common factors =1 x 1 = 1
LCM(1059,1352) = ( 1059 × 1352 ) / 1
LCM(1059,1352) = 1431768 / 1
LCM(1059,1352) = 1431768
Lets's calculate GCF of 297,771
3 | 297, 771 |
99, 257 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1431768/3
Therefore the LCM of Fractions 1059/297,1352/771 is 477256
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Greatest Common Factor
We found the factors 297,771 . The biggest common factor number is the GCF number.
So the greatest common factor 297,771 is 3.
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 1059/297, 1352/771?
Answer: LCM of Numerators as per given numbers 1059/297, 1352/771 is
LCM of Numerators i.e. for 1059,1352 is 1431768
GCF of denominators i.e. for 297,771 is 3.
Thus, LCM of Fractions is 477256.Finally, LCM of Fractions for 1059/297, 1352/771 is 477256.