Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 428/82, 5465/965 quickly i.e. 2339020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 428/82, 5465/965 is 2339020.
LCM(428/82, 5465/965) = 2339020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 428/82,5465/965
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 428,5465
Least Common Multiple of Numerators i.e. LCM of 428,5465 is 2339020.
GCF of Denominators means GCF of 82,965 as per the given fractions.
GCF of 82,965 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 428,5465
Given numbers has no common factors except 1. So, there LCM is their product i.e 2339020
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 428,5465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,5465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(428,5465) x common factors =1 x 1 = 1
LCM(428,5465) = ( 428 × 5465 ) / 1
LCM(428,5465) = 2339020 / 1
LCM(428,5465) = 2339020
Lets's calculate GCF of 82,965
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2339020/1
Therefore the LCM of Fractions 428/82,5465/965 is 2339020
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Greatest Common Factor
We found the factors 82,965 . The biggest common factor number is the GCF number.
So the greatest common factor 82,965 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 428/82, 5465/965?
Answer: LCM of Numerators as per given numbers 428/82, 5465/965 is
LCM of Numerators i.e. for 428,5465 is 2339020
GCF of denominators i.e. for 82,965 is 1.
Thus, LCM of Fractions is 2339020.Finally, LCM of Fractions for 428/82, 5465/965 is 2339020.