Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3350/926, 1779/4971 quickly i.e. 5959650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3350/926, 1779/4971 is 5959650.
LCM(3350/926, 1779/4971) = 5959650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3350/926,1779/4971
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 3350,1779
Least Common Multiple of Numerators i.e. LCM of 3350,1779 is 5959650.
GCF of Denominators means GCF of 926,4971 as per the given fractions.
GCF of 926,4971 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3350,1779
Given numbers has no common factors except 1. So, there LCM is their product i.e 5959650
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 3350,1779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3350,1779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3350,1779) x common factors =1 x 1 = 1
LCM(3350,1779) = ( 3350 × 1779 ) / 1
LCM(3350,1779) = 5959650 / 1
LCM(3350,1779) = 5959650
Lets's calculate GCF of 926,4971
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5959650/1
Therefore the LCM of Fractions 3350/926,1779/4971 is 5959650
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Factors of 4971
List of positive integer factors of 4971 that divides 4971 without a remainder.
1,3,1657,4971
Greatest Common Factor
We found the factors 926,4971 . The biggest common factor number is the GCF number.
So the greatest common factor 926,4971 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 3350/926, 1779/4971?
Answer: LCM of Numerators as per given numbers 3350/926, 1779/4971 is
LCM of Numerators i.e. for 3350,1779 is 5959650
GCF of denominators i.e. for 926,4971 is 1.
Thus, LCM of Fractions is 5959650.Finally, LCM of Fractions for 3350/926, 1779/4971 is 5959650.