Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7399/287, 9118/835 quickly i.e. 67464082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7399/287, 9118/835 is 67464082.
LCM(7399/287, 9118/835) = 67464082
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7399/287,9118/835
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 7399,9118
Least Common Multiple of Numerators i.e. LCM of 7399,9118 is 67464082.
GCF of Denominators means GCF of 287,835 as per the given fractions.
GCF of 287,835 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7399,9118
Given numbers has no common factors except 1. So, there LCM is their product i.e 67464082
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 7399,9118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7399,9118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7399,9118) x common factors =1 x 1 = 1
LCM(7399,9118) = ( 7399 × 9118 ) / 1
LCM(7399,9118) = 67464082 / 1
LCM(7399,9118) = 67464082
Lets's calculate GCF of 287,835
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67464082/1
Therefore the LCM of Fractions 7399/287,9118/835 is 67464082
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Greatest Common Factor
We found the factors 287,835 . The biggest common factor number is the GCF number.
So the greatest common factor 287,835 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 7399/287, 9118/835?
Answer: LCM of Numerators as per given numbers 7399/287, 9118/835 is
LCM of Numerators i.e. for 7399,9118 is 67464082
GCF of denominators i.e. for 287,835 is 1.
Thus, LCM of Fractions is 67464082.Finally, LCM of Fractions for 7399/287, 9118/835 is 67464082.