Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5539/919, 6994/6206 quickly i.e. 38739766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5539/919, 6994/6206 is 38739766.
LCM(5539/919, 6994/6206) = 38739766
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5539/919,6994/6206
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 5539,6994
Least Common Multiple of Numerators i.e. LCM of 5539,6994 is 38739766.
GCF of Denominators means GCF of 919,6206 as per the given fractions.
GCF of 919,6206 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5539,6994
Given numbers has no common factors except 1. So, there LCM is their product i.e 38739766
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 5539,6994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5539,6994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5539,6994) x common factors =1 x 1 = 1
LCM(5539,6994) = ( 5539 × 6994 ) / 1
LCM(5539,6994) = 38739766 / 1
LCM(5539,6994) = 38739766
Lets's calculate GCF of 919,6206
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38739766/1
Therefore the LCM of Fractions 5539/919,6994/6206 is 38739766
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 6206
List of positive integer factors of 6206 that divides 6206 without a remainder.
1,2,29,58,107,214,3103,6206
Greatest Common Factor
We found the factors 919,6206 . The biggest common factor number is the GCF number.
So the greatest common factor 919,6206 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 5539/919, 6994/6206?
Answer: LCM of Numerators as per given numbers 5539/919, 6994/6206 is
LCM of Numerators i.e. for 5539,6994 is 38739766
GCF of denominators i.e. for 919,6206 is 1.
Thus, LCM of Fractions is 38739766.Finally, LCM of Fractions for 5539/919, 6994/6206 is 38739766.