Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3252/398, 5977/5567 quickly i.e. 19437204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3252/398, 5977/5567 is 19437204.
LCM(3252/398, 5977/5567) = 19437204
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3252/398,5977/5567
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 3252,5977
Least Common Multiple of Numerators i.e. LCM of 3252,5977 is 19437204.
GCF of Denominators means GCF of 398,5567 as per the given fractions.
GCF of 398,5567 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3252,5977
Given numbers has no common factors except 1. So, there LCM is their product i.e 19437204
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 3252,5977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3252,5977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3252,5977) x common factors =1 x 1 = 1
LCM(3252,5977) = ( 3252 × 5977 ) / 1
LCM(3252,5977) = 19437204 / 1
LCM(3252,5977) = 19437204
Lets's calculate GCF of 398,5567
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19437204/1
Therefore the LCM of Fractions 3252/398,5977/5567 is 19437204
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 5567
List of positive integer factors of 5567 that divides 5567 without a remainder.
1,19,293,5567
Greatest Common Factor
We found the factors 398,5567 . The biggest common factor number is the GCF number.
So the greatest common factor 398,5567 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 3252/398, 5977/5567?
Answer: LCM of Numerators as per given numbers 3252/398, 5977/5567 is
LCM of Numerators i.e. for 3252,5977 is 19437204
GCF of denominators i.e. for 398,5567 is 1.
Thus, LCM of Fractions is 19437204.Finally, LCM of Fractions for 3252/398, 5977/5567 is 19437204.