Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2020/797, 9667/1212 quickly i.e. 19527340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2020/797, 9667/1212 is 19527340.
LCM(2020/797, 9667/1212) = 19527340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2020/797,9667/1212
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 2020,9667
Least Common Multiple of Numerators i.e. LCM of 2020,9667 is 19527340.
GCF of Denominators means GCF of 797,1212 as per the given fractions.
GCF of 797,1212 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2020,9667
Given numbers has no common factors except 1. So, there LCM is their product i.e 19527340
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 2020,9667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2020,9667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2020,9667) x common factors =1 x 1 = 1
LCM(2020,9667) = ( 2020 × 9667 ) / 1
LCM(2020,9667) = 19527340 / 1
LCM(2020,9667) = 19527340
Lets's calculate GCF of 797,1212
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19527340/1
Therefore the LCM of Fractions 2020/797,9667/1212 is 19527340
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Factors of 1212
List of positive integer factors of 1212 that divides 1212 without a remainder.
1,2,3,4,6,12,101,202,303,404,606,1212
Greatest Common Factor
We found the factors 797,1212 . The biggest common factor number is the GCF number.
So the greatest common factor 797,1212 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 2020/797, 9667/1212?
Answer: LCM of Numerators as per given numbers 2020/797, 9667/1212 is
LCM of Numerators i.e. for 2020,9667 is 19527340
GCF of denominators i.e. for 797,1212 is 1.
Thus, LCM of Fractions is 19527340.Finally, LCM of Fractions for 2020/797, 9667/1212 is 19527340.