Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7853/175, 2362/6676 quickly i.e. 18548786 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7853/175, 2362/6676 is 18548786.
LCM(7853/175, 2362/6676) = 18548786
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7853/175,2362/6676
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 7853,2362
Least Common Multiple of Numerators i.e. LCM of 7853,2362 is 18548786.
GCF of Denominators means GCF of 175,6676 as per the given fractions.
GCF of 175,6676 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7853,2362
Given numbers has no common factors except 1. So, there LCM is their product i.e 18548786
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 7853,2362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7853,2362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7853,2362) x common factors =1 x 1 = 1
LCM(7853,2362) = ( 7853 × 2362 ) / 1
LCM(7853,2362) = 18548786 / 1
LCM(7853,2362) = 18548786
Lets's calculate GCF of 175,6676
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18548786/1
Therefore the LCM of Fractions 7853/175,2362/6676 is 18548786
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Factors of 6676
List of positive integer factors of 6676 that divides 6676 without a remainder.
1,2,4,1669,3338,6676
Greatest Common Factor
We found the factors 175,6676 . The biggest common factor number is the GCF number.
So the greatest common factor 175,6676 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 7853/175, 2362/6676?
Answer: LCM of Numerators as per given numbers 7853/175, 2362/6676 is
LCM of Numerators i.e. for 7853,2362 is 18548786
GCF of denominators i.e. for 175,6676 is 1.
Thus, LCM of Fractions is 18548786.Finally, LCM of Fractions for 7853/175, 2362/6676 is 18548786.