Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 395/676, 2612/6915 quickly i.e. 1031740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 395/676, 2612/6915 is 1031740.
LCM(395/676, 2612/6915) = 1031740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 395/676,2612/6915
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 395,2612
Least Common Multiple of Numerators i.e. LCM of 395,2612 is 1031740.
GCF of Denominators means GCF of 676,6915 as per the given fractions.
GCF of 676,6915 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 395,2612
Given numbers has no common factors except 1. So, there LCM is their product i.e 1031740
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 395,2612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,2612) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,2612) x common factors =1 x 1 = 1
LCM(395,2612) = ( 395 × 2612 ) / 1
LCM(395,2612) = 1031740 / 1
LCM(395,2612) = 1031740
Lets's calculate GCF of 676,6915
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1031740/1
Therefore the LCM of Fractions 395/676,2612/6915 is 1031740
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Factors of 6915
List of positive integer factors of 6915 that divides 6915 without a remainder.
1,3,5,15,461,1383,2305,6915
Greatest Common Factor
We found the factors 676,6915 . The biggest common factor number is the GCF number.
So the greatest common factor 676,6915 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 395/676, 2612/6915?
Answer: LCM of Numerators as per given numbers 395/676, 2612/6915 is
LCM of Numerators i.e. for 395,2612 is 1031740
GCF of denominators i.e. for 676,6915 is 1.
Thus, LCM of Fractions is 1031740.Finally, LCM of Fractions for 395/676, 2612/6915 is 1031740.