Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 998/371, 7287/3113 quickly i.e. 7272426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 998/371, 7287/3113 is 7272426.
LCM(998/371, 7287/3113) = 7272426
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 998/371,7287/3113
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 998,7287
Least Common Multiple of Numerators i.e. LCM of 998,7287 is 7272426.
GCF of Denominators means GCF of 371,3113 as per the given fractions.
GCF of 371,3113 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 998,7287
Given numbers has no common factors except 1. So, there LCM is their product i.e 7272426
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 998,7287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,7287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(998,7287) x common factors =1 x 1 = 1
LCM(998,7287) = ( 998 × 7287 ) / 1
LCM(998,7287) = 7272426 / 1
LCM(998,7287) = 7272426
Lets's calculate GCF of 371,3113
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7272426/1
Therefore the LCM of Fractions 998/371,7287/3113 is 7272426
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Factors of 3113
List of positive integer factors of 3113 that divides 3113 without a remainder.
1,11,283,3113
Greatest Common Factor
We found the factors 371,3113 . The biggest common factor number is the GCF number.
So the greatest common factor 371,3113 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 998/371, 7287/3113?
Answer: LCM of Numerators as per given numbers 998/371, 7287/3113 is
LCM of Numerators i.e. for 998,7287 is 7272426
GCF of denominators i.e. for 371,3113 is 1.
Thus, LCM of Fractions is 7272426.Finally, LCM of Fractions for 998/371, 7287/3113 is 7272426.