Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 508/511, 4881/365 quickly i.e. 2479548/73 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 508/511, 4881/365 is 2479548/73.
LCM(508/511, 4881/365) = 2479548/73
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 508/511,4881/365
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 508,4881
Least Common Multiple of Numerators i.e. LCM of 508,4881 is 2479548.
GCF of Denominators means GCF of 511,365 as per the given fractions.
GCF of 511,365 is 73 as it is the largest common factor for these numbers.
Lets's calculate LCM of 508,4881
Given numbers has no common factors except 1. So, there LCM is their product i.e 2479548
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 508,4881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,4881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,4881) x common factors =1 x 1 = 1
LCM(508,4881) = ( 508 × 4881 ) / 1
LCM(508,4881) = 2479548 / 1
LCM(508,4881) = 2479548
Lets's calculate GCF of 511,365
73 | 511, 365 |
7, 5 |
∴ So the GCF of the given numbers is 73 = 73
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2479548/73
Therefore the LCM of Fractions 508/511,4881/365 is 2479548/73
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Greatest Common Factor
We found the factors 511,365 . The biggest common factor number is the GCF number.
So the greatest common factor 511,365 is 73.
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 508/511, 4881/365?
Answer: LCM of Numerators as per given numbers 508/511, 4881/365 is
LCM of Numerators i.e. for 508,4881 is 2479548
GCF of denominators i.e. for 511,365 is 73.
Thus, LCM of Fractions is 2479548/73.Finally, LCM of Fractions for 508/511, 4881/365 is 2479548/73.