Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 677/96, 851/6725 quickly i.e. 576127 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 677/96, 851/6725 is 576127.
LCM(677/96, 851/6725) = 576127
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 677/96,851/6725
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 677,851
Least Common Multiple of Numerators i.e. LCM of 677,851 is 576127.
GCF of Denominators means GCF of 96,6725 as per the given fractions.
GCF of 96,6725 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 677,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 576127
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 677,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,851) x common factors =1 x 1 = 1
LCM(677,851) = ( 677 × 851 ) / 1
LCM(677,851) = 576127 / 1
LCM(677,851) = 576127
Lets's calculate GCF of 96,6725
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 576127/1
Therefore the LCM of Fractions 677/96,851/6725 is 576127
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 6725
List of positive integer factors of 6725 that divides 6725 without a remainder.
1,5,25,269,1345,6725
Greatest Common Factor
We found the factors 96,6725 . The biggest common factor number is the GCF number.
So the greatest common factor 96,6725 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 677/96, 851/6725?
Answer: LCM of Numerators as per given numbers 677/96, 851/6725 is
LCM of Numerators i.e. for 677,851 is 576127
GCF of denominators i.e. for 96,6725 is 1.
Thus, LCM of Fractions is 576127.Finally, LCM of Fractions for 677/96, 851/6725 is 576127.