Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5326/996, 4854/8538 quickly i.e. 2154367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5326/996, 4854/8538 is 2154367.
LCM(5326/996, 4854/8538) = 2154367
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5326/996,4854/8538
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 5326,4854
Least Common Multiple of Numerators i.e. LCM of 5326,4854 is 12926202.
GCF of Denominators means GCF of 996,8538 as per the given fractions.
GCF of 996,8538 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5326,4854
2 | 5326, 4854 |
2663, 2427 |
∴ So the LCM of the given numbers is 2 x 2663 x 2427 = 12926202
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 5326,4854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5326,4854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5326,4854) x common factors =2 x 1 = 2
LCM(5326,4854) = ( 5326 × 4854 ) / 2
LCM(5326,4854) = 25852404 / 2
LCM(5326,4854) = 12926202
Lets's calculate GCF of 996,8538
2 | 996, 8538 |
3 | 498, 4269 |
166, 1423 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12926202/6
Therefore the LCM of Fractions 5326/996,4854/8538 is 2154367
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 8538
List of positive integer factors of 8538 that divides 8538 without a remainder.
1,2,3,6,1423,2846,4269,8538
Greatest Common Factor
We found the factors 996,8538 . The biggest common factor number is the GCF number.
So the greatest common factor 996,8538 is 6.
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 5326/996, 4854/8538?
Answer: LCM of Numerators as per given numbers 5326/996, 4854/8538 is
LCM of Numerators i.e. for 5326,4854 is 12926202
GCF of denominators i.e. for 996,8538 is 6.
Thus, LCM of Fractions is 2154367.Finally, LCM of Fractions for 5326/996, 4854/8538 is 2154367.