Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 984/48, 566/5513 quickly i.e. 278472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 984/48, 566/5513 is 278472.
LCM(984/48, 566/5513) = 278472
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 984/48,566/5513
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 984,566
Least Common Multiple of Numerators i.e. LCM of 984,566 is 278472.
GCF of Denominators means GCF of 48,5513 as per the given fractions.
GCF of 48,5513 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 984,566
2 | 984, 566 |
492, 283 |
∴ So the LCM of the given numbers is 2 x 492 x 283 = 278472
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 984,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,566) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(984,566) x common factors =2 x 1 = 2
LCM(984,566) = ( 984 × 566 ) / 2
LCM(984,566) = 556944 / 2
LCM(984,566) = 278472
Lets's calculate GCF of 48,5513
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278472/1
Therefore the LCM of Fractions 984/48,566/5513 is 278472
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 5513
List of positive integer factors of 5513 that divides 5513 without a remainder.
1,37,149,5513
Greatest Common Factor
We found the factors 48,5513 . The biggest common factor number is the GCF number.
So the greatest common factor 48,5513 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 984/48, 566/5513?
Answer: LCM of Numerators as per given numbers 984/48, 566/5513 is
LCM of Numerators i.e. for 984,566 is 278472
GCF of denominators i.e. for 48,5513 is 1.
Thus, LCM of Fractions is 278472.Finally, LCM of Fractions for 984/48, 566/5513 is 278472.