Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/548, 8684/2366 quickly i.e. 4342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/548, 8684/2366 is 4342.
LCM(52/548, 8684/2366) = 4342
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/548,8684/2366
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 52,8684
Least Common Multiple of Numerators i.e. LCM of 52,8684 is 8684.
GCF of Denominators means GCF of 548,2366 as per the given fractions.
GCF of 548,2366 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,8684
2 | 52, 8684 |
2 | 26, 4342 |
13 | 13, 2171 |
1, 167 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 167 = 8684
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 52,8684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,8684) = 52
common factors(in case of two or more numbers have common factors) = 1
GCF(52,8684) x common factors =52 x 1 = 52
LCM(52,8684) = ( 52 × 8684 ) / 52
LCM(52,8684) = 451568 / 52
LCM(52,8684) = 8684
Lets's calculate GCF of 548,2366
2 | 548, 2366 |
274, 1183 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8684/2
Therefore the LCM of Fractions 52/548,8684/2366 is 4342
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 2366
List of positive integer factors of 2366 that divides 2366 without a remainder.
1,2,7,13,14,26,91,169,182,338,1183,2366
Greatest Common Factor
We found the factors 548,2366 . The biggest common factor number is the GCF number.
So the greatest common factor 548,2366 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 52/548, 8684/2366?
Answer: LCM of Numerators as per given numbers 52/548, 8684/2366 is
LCM of Numerators i.e. for 52,8684 is 8684
GCF of denominators i.e. for 548,2366 is 2.
Thus, LCM of Fractions is 4342.Finally, LCM of Fractions for 52/548, 8684/2366 is 4342.