Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 797/981, 398/563, 572/116 quickly i.e. 90720916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 797/981, 398/563, 572/116 is 90720916.
LCM(797/981, 398/563, 572/116) = 90720916
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 797/981,398/563,572/116
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 797,398,572
Least Common Multiple of Numerators i.e. LCM of 797,398,572 is 90720916.
GCF of Denominators means GCF of 981,563,116 as per the given fractions.
GCF of 981,563,116 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 797,398,572
2 | 797, 398, 572 |
797, 199, 286 |
∴ So the LCM of the given numbers is 2 x 797 x 199 x 286 = 90720916
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 797,398,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,398,572) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(797,398,572) x common factors =1 x 2 = 2
LCM(797,398,572) = ( 797 × 398 × 572 ) / 2
LCM(797,398,572) = 181441832 / 2
LCM(797,398,572) = 90720916
Lets's calculate GCF of 981,563,116
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90720916/1
Therefore the LCM of Fractions 797/981,398/563,572/116 is 90720916
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 981,563,116 . The biggest common factor number is the GCF number.
So the greatest common factor 981,563,116 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 797/981, 398/563, 572/116?
Answer: LCM of Numerators as per given numbers 797/981, 398/563, 572/116 is
LCM of Numerators i.e. for 797,398,572 is 90720916
GCF of denominators i.e. for 981,563,116 is 1.
Thus, LCM of Fractions is 90720916.Finally, LCM of Fractions for 797/981, 398/563, 572/116 is 90720916.