Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2746/895, 6343/6032 quickly i.e. 17417878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2746/895, 6343/6032 is 17417878.
LCM(2746/895, 6343/6032) = 17417878
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2746/895,6343/6032
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 2746,6343
Least Common Multiple of Numerators i.e. LCM of 2746,6343 is 17417878.
GCF of Denominators means GCF of 895,6032 as per the given fractions.
GCF of 895,6032 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2746,6343
Given numbers has no common factors except 1. So, there LCM is their product i.e 17417878
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 2746,6343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2746,6343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2746,6343) x common factors =1 x 1 = 1
LCM(2746,6343) = ( 2746 × 6343 ) / 1
LCM(2746,6343) = 17417878 / 1
LCM(2746,6343) = 17417878
Lets's calculate GCF of 895,6032
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17417878/1
Therefore the LCM of Fractions 2746/895,6343/6032 is 17417878
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Factors of 6032
List of positive integer factors of 6032 that divides 6032 without a remainder.
1,2,4,8,13,16,26,29,52,58,104,116,208,232,377,464,754,1508,3016,6032
Greatest Common Factor
We found the factors 895,6032 . The biggest common factor number is the GCF number.
So the greatest common factor 895,6032 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 2746/895, 6343/6032?
Answer: LCM of Numerators as per given numbers 2746/895, 6343/6032 is
LCM of Numerators i.e. for 2746,6343 is 17417878
GCF of denominators i.e. for 895,6032 is 1.
Thus, LCM of Fractions is 17417878.Finally, LCM of Fractions for 2746/895, 6343/6032 is 17417878.