Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 122/861, 5056/8144 quickly i.e. 308416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 122/861, 5056/8144 is 308416.
LCM(122/861, 5056/8144) = 308416
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 122/861,5056/8144
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 122,5056
Least Common Multiple of Numerators i.e. LCM of 122,5056 is 308416.
GCF of Denominators means GCF of 861,8144 as per the given fractions.
GCF of 861,8144 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 122,5056
2 | 122, 5056 |
61, 2528 |
∴ So the LCM of the given numbers is 2 x 61 x 2528 = 308416
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 122,5056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,5056) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,5056) x common factors =2 x 1 = 2
LCM(122,5056) = ( 122 × 5056 ) / 2
LCM(122,5056) = 616832 / 2
LCM(122,5056) = 308416
Lets's calculate GCF of 861,8144
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308416/1
Therefore the LCM of Fractions 122/861,5056/8144 is 308416
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 8144
List of positive integer factors of 8144 that divides 8144 without a remainder.
1,2,4,8,16,509,1018,2036,4072,8144
Greatest Common Factor
We found the factors 861,8144 . The biggest common factor number is the GCF number.
So the greatest common factor 861,8144 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 122/861, 5056/8144?
Answer: LCM of Numerators as per given numbers 122/861, 5056/8144 is
LCM of Numerators i.e. for 122,5056 is 308416
GCF of denominators i.e. for 861,8144 is 1.
Thus, LCM of Fractions is 308416.Finally, LCM of Fractions for 122/861, 5056/8144 is 308416.