Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 806/48, 908/5546 quickly i.e. 182962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 806/48, 908/5546 is 182962.
LCM(806/48, 908/5546) = 182962
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 806/48,908/5546
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 806,908
Least Common Multiple of Numerators i.e. LCM of 806,908 is 365924.
GCF of Denominators means GCF of 48,5546 as per the given fractions.
GCF of 48,5546 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 806,908
2 | 806, 908 |
403, 454 |
∴ So the LCM of the given numbers is 2 x 403 x 454 = 365924
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 806,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,908) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,908) x common factors =2 x 1 = 2
LCM(806,908) = ( 806 × 908 ) / 2
LCM(806,908) = 731848 / 2
LCM(806,908) = 365924
Lets's calculate GCF of 48,5546
2 | 48, 5546 |
24, 2773 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365924/2
Therefore the LCM of Fractions 806/48,908/5546 is 182962
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 5546
List of positive integer factors of 5546 that divides 5546 without a remainder.
1,2,47,59,94,118,2773,5546
Greatest Common Factor
We found the factors 48,5546 . The biggest common factor number is the GCF number.
So the greatest common factor 48,5546 is 2.
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 806/48, 908/5546?
Answer: LCM of Numerators as per given numbers 806/48, 908/5546 is
LCM of Numerators i.e. for 806,908 is 365924
GCF of denominators i.e. for 48,5546 is 2.
Thus, LCM of Fractions is 182962.Finally, LCM of Fractions for 806/48, 908/5546 is 182962.