Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 478/44, 539/9830 quickly i.e. 128821 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 478/44, 539/9830 is 128821.
LCM(478/44, 539/9830) = 128821
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 478/44,539/9830
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 478,539
Least Common Multiple of Numerators i.e. LCM of 478,539 is 257642.
GCF of Denominators means GCF of 44,9830 as per the given fractions.
GCF of 44,9830 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 478,539
Given numbers has no common factors except 1. So, there LCM is their product i.e 257642
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 478,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,539) x common factors =1 x 1 = 1
LCM(478,539) = ( 478 × 539 ) / 1
LCM(478,539) = 257642 / 1
LCM(478,539) = 257642
Lets's calculate GCF of 44,9830
2 | 44, 9830 |
22, 4915 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257642/2
Therefore the LCM of Fractions 478/44,539/9830 is 128821
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 9830
List of positive integer factors of 9830 that divides 9830 without a remainder.
1,2,5,10,983,1966,4915,9830
Greatest Common Factor
We found the factors 44,9830 . The biggest common factor number is the GCF number.
So the greatest common factor 44,9830 is 2.
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 478/44, 539/9830?
Answer: LCM of Numerators as per given numbers 478/44, 539/9830 is
LCM of Numerators i.e. for 478,539 is 257642
GCF of denominators i.e. for 44,9830 is 2.
Thus, LCM of Fractions is 128821.Finally, LCM of Fractions for 478/44, 539/9830 is 128821.