Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 797/567, 9306/7139 quickly i.e. 7416882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 797/567, 9306/7139 is 7416882.
LCM(797/567, 9306/7139) = 7416882
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 797/567,9306/7139
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 797,9306
Least Common Multiple of Numerators i.e. LCM of 797,9306 is 7416882.
GCF of Denominators means GCF of 567,7139 as per the given fractions.
GCF of 567,7139 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 797,9306
Given numbers has no common factors except 1. So, there LCM is their product i.e 7416882
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 797,9306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,9306) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,9306) x common factors =1 x 1 = 1
LCM(797,9306) = ( 797 × 9306 ) / 1
LCM(797,9306) = 7416882 / 1
LCM(797,9306) = 7416882
Lets's calculate GCF of 567,7139
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7416882/1
Therefore the LCM of Fractions 797/567,9306/7139 is 7416882
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 7139
List of positive integer factors of 7139 that divides 7139 without a remainder.
1,11,59,121,649,7139
Greatest Common Factor
We found the factors 567,7139 . The biggest common factor number is the GCF number.
So the greatest common factor 567,7139 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 797/567, 9306/7139?
Answer: LCM of Numerators as per given numbers 797/567, 9306/7139 is
LCM of Numerators i.e. for 797,9306 is 7416882
GCF of denominators i.e. for 567,7139 is 1.
Thus, LCM of Fractions is 7416882.Finally, LCM of Fractions for 797/567, 9306/7139 is 7416882.