Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8452/904, 2918/861 quickly i.e. 12331468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8452/904, 2918/861 is 12331468.
LCM(8452/904, 2918/861) = 12331468
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8452/904,2918/861
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 8452,2918
Least Common Multiple of Numerators i.e. LCM of 8452,2918 is 12331468.
GCF of Denominators means GCF of 904,861 as per the given fractions.
GCF of 904,861 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8452,2918
2 | 8452, 2918 |
4226, 1459 |
∴ So the LCM of the given numbers is 2 x 4226 x 1459 = 12331468
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 8452,2918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8452,2918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8452,2918) x common factors =2 x 1 = 2
LCM(8452,2918) = ( 8452 × 2918 ) / 2
LCM(8452,2918) = 24662936 / 2
LCM(8452,2918) = 12331468
Lets's calculate GCF of 904,861
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12331468/1
Therefore the LCM of Fractions 8452/904,2918/861 is 12331468
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Greatest Common Factor
We found the factors 904,861 . The biggest common factor number is the GCF number.
So the greatest common factor 904,861 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 8452/904, 2918/861?
Answer: LCM of Numerators as per given numbers 8452/904, 2918/861 is
LCM of Numerators i.e. for 8452,2918 is 12331468
GCF of denominators i.e. for 904,861 is 1.
Thus, LCM of Fractions is 12331468.Finally, LCM of Fractions for 8452/904, 2918/861 is 12331468.