Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 548/110, 5109/4888 quickly i.e. 1399866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 548/110, 5109/4888 is 1399866.
LCM(548/110, 5109/4888) = 1399866
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 548/110,5109/4888
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 548,5109
Least Common Multiple of Numerators i.e. LCM of 548,5109 is 2799732.
GCF of Denominators means GCF of 110,4888 as per the given fractions.
GCF of 110,4888 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 548,5109
Given numbers has no common factors except 1. So, there LCM is their product i.e 2799732
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 548,5109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,5109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,5109) x common factors =1 x 1 = 1
LCM(548,5109) = ( 548 × 5109 ) / 1
LCM(548,5109) = 2799732 / 1
LCM(548,5109) = 2799732
Lets's calculate GCF of 110,4888
2 | 110, 4888 |
55, 2444 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2799732/2
Therefore the LCM of Fractions 548/110,5109/4888 is 1399866
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 4888
List of positive integer factors of 4888 that divides 4888 without a remainder.
1,2,4,8,13,26,47,52,94,104,188,376,611,1222,2444,4888
Greatest Common Factor
We found the factors 110,4888 . The biggest common factor number is the GCF number.
So the greatest common factor 110,4888 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 548/110, 5109/4888?
Answer: LCM of Numerators as per given numbers 548/110, 5109/4888 is
LCM of Numerators i.e. for 548,5109 is 2799732
GCF of denominators i.e. for 110,4888 is 2.
Thus, LCM of Fractions is 1399866.Finally, LCM of Fractions for 548/110, 5109/4888 is 1399866.