Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 746/135, 5428/9307 quickly i.e. 2024644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 746/135, 5428/9307 is 2024644.
LCM(746/135, 5428/9307) = 2024644
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 746/135,5428/9307
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 746,5428
Least Common Multiple of Numerators i.e. LCM of 746,5428 is 2024644.
GCF of Denominators means GCF of 135,9307 as per the given fractions.
GCF of 135,9307 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 746,5428
2 | 746, 5428 |
373, 2714 |
∴ So the LCM of the given numbers is 2 x 373 x 2714 = 2024644
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 746,5428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,5428) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,5428) x common factors =2 x 1 = 2
LCM(746,5428) = ( 746 × 5428 ) / 2
LCM(746,5428) = 4049288 / 2
LCM(746,5428) = 2024644
Lets's calculate GCF of 135,9307
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2024644/1
Therefore the LCM of Fractions 746/135,5428/9307 is 2024644
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 9307
List of positive integer factors of 9307 that divides 9307 without a remainder.
1,41,227,9307
Greatest Common Factor
We found the factors 135,9307 . The biggest common factor number is the GCF number.
So the greatest common factor 135,9307 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 746/135, 5428/9307?
Answer: LCM of Numerators as per given numbers 746/135, 5428/9307 is
LCM of Numerators i.e. for 746,5428 is 2024644
GCF of denominators i.e. for 135,9307 is 1.
Thus, LCM of Fractions is 2024644.Finally, LCM of Fractions for 746/135, 5428/9307 is 2024644.