Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/478, 9924/2855 quickly i.e. 823692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/478, 9924/2855 is 823692.
LCM(83/478, 9924/2855) = 823692
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/478,9924/2855
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 83,9924
Least Common Multiple of Numerators i.e. LCM of 83,9924 is 823692.
GCF of Denominators means GCF of 478,2855 as per the given fractions.
GCF of 478,2855 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,9924
Given numbers has no common factors except 1. So, there LCM is their product i.e 823692
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 83,9924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,9924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,9924) x common factors =1 x 1 = 1
LCM(83,9924) = ( 83 × 9924 ) / 1
LCM(83,9924) = 823692 / 1
LCM(83,9924) = 823692
Lets's calculate GCF of 478,2855
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 823692/1
Therefore the LCM of Fractions 83/478,9924/2855 is 823692
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 2855
List of positive integer factors of 2855 that divides 2855 without a remainder.
1,5,571,2855
Greatest Common Factor
We found the factors 478,2855 . The biggest common factor number is the GCF number.
So the greatest common factor 478,2855 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 83/478, 9924/2855?
Answer: LCM of Numerators as per given numbers 83/478, 9924/2855 is
LCM of Numerators i.e. for 83,9924 is 823692
GCF of denominators i.e. for 478,2855 is 1.
Thus, LCM of Fractions is 823692.Finally, LCM of Fractions for 83/478, 9924/2855 is 823692.