Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4939/911, 6151/4806 quickly i.e. 30379789 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4939/911, 6151/4806 is 30379789.
LCM(4939/911, 6151/4806) = 30379789
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4939/911,6151/4806
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 4939,6151
Least Common Multiple of Numerators i.e. LCM of 4939,6151 is 30379789.
GCF of Denominators means GCF of 911,4806 as per the given fractions.
GCF of 911,4806 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4939,6151
Given numbers has no common factors except 1. So, there LCM is their product i.e 30379789
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 4939,6151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4939,6151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4939,6151) x common factors =1 x 1 = 1
LCM(4939,6151) = ( 4939 × 6151 ) / 1
LCM(4939,6151) = 30379789 / 1
LCM(4939,6151) = 30379789
Lets's calculate GCF of 911,4806
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30379789/1
Therefore the LCM of Fractions 4939/911,6151/4806 is 30379789
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 4806
List of positive integer factors of 4806 that divides 4806 without a remainder.
1,2,3,6,9,18,27,54,89,178,267,534,801,1602,2403,4806
Greatest Common Factor
We found the factors 911,4806 . The biggest common factor number is the GCF number.
So the greatest common factor 911,4806 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 4939/911, 6151/4806?
Answer: LCM of Numerators as per given numbers 4939/911, 6151/4806 is
LCM of Numerators i.e. for 4939,6151 is 30379789
GCF of denominators i.e. for 911,4806 is 1.
Thus, LCM of Fractions is 30379789.Finally, LCM of Fractions for 4939/911, 6151/4806 is 30379789.