Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5901/620, 6778/939 quickly i.e. 39996978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5901/620, 6778/939 is 39996978.
LCM(5901/620, 6778/939) = 39996978
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5901/620,6778/939
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 5901,6778
Least Common Multiple of Numerators i.e. LCM of 5901,6778 is 39996978.
GCF of Denominators means GCF of 620,939 as per the given fractions.
GCF of 620,939 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5901,6778
Given numbers has no common factors except 1. So, there LCM is their product i.e 39996978
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 5901,6778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5901,6778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5901,6778) x common factors =1 x 1 = 1
LCM(5901,6778) = ( 5901 × 6778 ) / 1
LCM(5901,6778) = 39996978 / 1
LCM(5901,6778) = 39996978
Lets's calculate GCF of 620,939
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39996978/1
Therefore the LCM of Fractions 5901/620,6778/939 is 39996978
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Greatest Common Factor
We found the factors 620,939 . The biggest common factor number is the GCF number.
So the greatest common factor 620,939 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 5901/620, 6778/939?
Answer: LCM of Numerators as per given numbers 5901/620, 6778/939 is
LCM of Numerators i.e. for 5901,6778 is 39996978
GCF of denominators i.e. for 620,939 is 1.
Thus, LCM of Fractions is 39996978.Finally, LCM of Fractions for 5901/620, 6778/939 is 39996978.