Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3342/609, 9365/2998 quickly i.e. 31297830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3342/609, 9365/2998 is 31297830.
LCM(3342/609, 9365/2998) = 31297830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3342/609,9365/2998
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 3342,9365
Least Common Multiple of Numerators i.e. LCM of 3342,9365 is 31297830.
GCF of Denominators means GCF of 609,2998 as per the given fractions.
GCF of 609,2998 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3342,9365
Given numbers has no common factors except 1. So, there LCM is their product i.e 31297830
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 3342,9365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3342,9365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3342,9365) x common factors =1 x 1 = 1
LCM(3342,9365) = ( 3342 × 9365 ) / 1
LCM(3342,9365) = 31297830 / 1
LCM(3342,9365) = 31297830
Lets's calculate GCF of 609,2998
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31297830/1
Therefore the LCM of Fractions 3342/609,9365/2998 is 31297830
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Factors of 2998
List of positive integer factors of 2998 that divides 2998 without a remainder.
1,2,1499,2998
Greatest Common Factor
We found the factors 609,2998 . The biggest common factor number is the GCF number.
So the greatest common factor 609,2998 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 3342/609, 9365/2998?
Answer: LCM of Numerators as per given numbers 3342/609, 9365/2998 is
LCM of Numerators i.e. for 3342,9365 is 31297830
GCF of denominators i.e. for 609,2998 is 1.
Thus, LCM of Fractions is 31297830.Finally, LCM of Fractions for 3342/609, 9365/2998 is 31297830.