Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 391/976, 6204/3007 quickly i.e. 2425764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 391/976, 6204/3007 is 2425764.
LCM(391/976, 6204/3007) = 2425764
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 391/976,6204/3007
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 391,6204
Least Common Multiple of Numerators i.e. LCM of 391,6204 is 2425764.
GCF of Denominators means GCF of 976,3007 as per the given fractions.
GCF of 976,3007 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 391,6204
Given numbers has no common factors except 1. So, there LCM is their product i.e 2425764
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 391,6204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,6204) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,6204) x common factors =1 x 1 = 1
LCM(391,6204) = ( 391 × 6204 ) / 1
LCM(391,6204) = 2425764 / 1
LCM(391,6204) = 2425764
Lets's calculate GCF of 976,3007
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2425764/1
Therefore the LCM of Fractions 391/976,6204/3007 is 2425764
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 3007
List of positive integer factors of 3007 that divides 3007 without a remainder.
1,31,97,3007
Greatest Common Factor
We found the factors 976,3007 . The biggest common factor number is the GCF number.
So the greatest common factor 976,3007 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 391/976, 6204/3007?
Answer: LCM of Numerators as per given numbers 391/976, 6204/3007 is
LCM of Numerators i.e. for 391,6204 is 2425764
GCF of denominators i.e. for 976,3007 is 1.
Thus, LCM of Fractions is 2425764.Finally, LCM of Fractions for 391/976, 6204/3007 is 2425764.