Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/297, 7577/3201 quickly i.e. 83347/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/297, 7577/3201 is 83347/33.
LCM(11/297, 7577/3201) = 83347/33
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/297,7577/3201
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 11,7577
Least Common Multiple of Numerators i.e. LCM of 11,7577 is 83347.
GCF of Denominators means GCF of 297,3201 as per the given fractions.
GCF of 297,3201 is 33 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,7577
Given numbers has no common factors except 1. So, there LCM is their product i.e 83347
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 11,7577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,7577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,7577) x common factors =1 x 1 = 1
LCM(11,7577) = ( 11 × 7577 ) / 1
LCM(11,7577) = 83347 / 1
LCM(11,7577) = 83347
Lets's calculate GCF of 297,3201
3 | 297, 3201 |
11 | 99, 1067 |
9, 97 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83347/33
Therefore the LCM of Fractions 11/297,7577/3201 is 83347/33
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 3201
List of positive integer factors of 3201 that divides 3201 without a remainder.
1,3,11,33,97,291,1067,3201
Greatest Common Factor
We found the factors 297,3201 . The biggest common factor number is the GCF number.
So the greatest common factor 297,3201 is 33.
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 11/297, 7577/3201?
Answer: LCM of Numerators as per given numbers 11/297, 7577/3201 is
LCM of Numerators i.e. for 11,7577 is 83347
GCF of denominators i.e. for 297,3201 is 33.
Thus, LCM of Fractions is 83347/33.Finally, LCM of Fractions for 11/297, 7577/3201 is 83347/33.