Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 661/759, 5333/738 quickly i.e. 3525113/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 661/759, 5333/738 is 3525113/3.
LCM(661/759, 5333/738) = 3525113/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 661/759,5333/738
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 661,5333
Least Common Multiple of Numerators i.e. LCM of 661,5333 is 3525113.
GCF of Denominators means GCF of 759,738 as per the given fractions.
GCF of 759,738 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 661,5333
Given numbers has no common factors except 1. So, there LCM is their product i.e 3525113
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 661,5333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,5333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,5333) x common factors =1 x 1 = 1
LCM(661,5333) = ( 661 × 5333 ) / 1
LCM(661,5333) = 3525113 / 1
LCM(661,5333) = 3525113
Lets's calculate GCF of 759,738
3 | 759, 738 |
253, 246 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3525113/3
Therefore the LCM of Fractions 661/759,5333/738 is 3525113/3
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Greatest Common Factor
We found the factors 759,738 . The biggest common factor number is the GCF number.
So the greatest common factor 759,738 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 661/759, 5333/738?
Answer: LCM of Numerators as per given numbers 661/759, 5333/738 is
LCM of Numerators i.e. for 661,5333 is 3525113
GCF of denominators i.e. for 759,738 is 3.
Thus, LCM of Fractions is 3525113/3.Finally, LCM of Fractions for 661/759, 5333/738 is 3525113/3.