Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 812/942, 8828/569 quickly i.e. 1792084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 812/942, 8828/569 is 1792084.
LCM(812/942, 8828/569) = 1792084
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 812/942,8828/569
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 812,8828
Least Common Multiple of Numerators i.e. LCM of 812,8828 is 1792084.
GCF of Denominators means GCF of 942,569 as per the given fractions.
GCF of 942,569 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 812,8828
2 | 812, 8828 |
2 | 406, 4414 |
203, 2207 |
∴ So the LCM of the given numbers is 2 x 2 x 203 x 2207 = 1792084
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 812,8828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,8828) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(812,8828) x common factors =4 x 1 = 4
LCM(812,8828) = ( 812 × 8828 ) / 4
LCM(812,8828) = 7168336 / 4
LCM(812,8828) = 1792084
Lets's calculate GCF of 942,569
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1792084/1
Therefore the LCM of Fractions 812/942,8828/569 is 1792084
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Greatest Common Factor
We found the factors 942,569 . The biggest common factor number is the GCF number.
So the greatest common factor 942,569 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 812/942, 8828/569?
Answer: LCM of Numerators as per given numbers 812/942, 8828/569 is
LCM of Numerators i.e. for 812,8828 is 1792084
GCF of denominators i.e. for 942,569 is 1.
Thus, LCM of Fractions is 1792084.Finally, LCM of Fractions for 812/942, 8828/569 is 1792084.