Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 797/970, 2936/885 quickly i.e. 2339992/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 797/970, 2936/885 is 2339992/5.
LCM(797/970, 2936/885) = 2339992/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 797/970,2936/885
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 797,2936
Least Common Multiple of Numerators i.e. LCM of 797,2936 is 2339992.
GCF of Denominators means GCF of 970,885 as per the given fractions.
GCF of 970,885 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 797,2936
Given numbers has no common factors except 1. So, there LCM is their product i.e 2339992
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 797,2936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,2936) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,2936) x common factors =1 x 1 = 1
LCM(797,2936) = ( 797 × 2936 ) / 1
LCM(797,2936) = 2339992 / 1
LCM(797,2936) = 2339992
Lets's calculate GCF of 970,885
5 | 970, 885 |
194, 177 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2339992/5
Therefore the LCM of Fractions 797/970,2936/885 is 2339992/5
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 970,885 . The biggest common factor number is the GCF number.
So the greatest common factor 970,885 is 5.
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 797/970, 2936/885?
Answer: LCM of Numerators as per given numbers 797/970, 2936/885 is
LCM of Numerators i.e. for 797,2936 is 2339992
GCF of denominators i.e. for 970,885 is 5.
Thus, LCM of Fractions is 2339992/5.Finally, LCM of Fractions for 797/970, 2936/885 is 2339992/5.