Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 677/773, 541/928 quickly i.e. 366257 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 677/773, 541/928 is 366257.
LCM(677/773, 541/928) = 366257
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 677/773,541/928
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 677,541
Least Common Multiple of Numerators i.e. LCM of 677,541 is 366257.
GCF of Denominators means GCF of 773,928 as per the given fractions.
GCF of 773,928 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 677,541
Given numbers has no common factors except 1. So, there LCM is their product i.e 366257
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 677,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,541) x common factors =1 x 1 = 1
LCM(677,541) = ( 677 × 541 ) / 1
LCM(677,541) = 366257 / 1
LCM(677,541) = 366257
Lets's calculate GCF of 773,928
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366257/1
Therefore the LCM of Fractions 677/773,541/928 is 366257
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 773,928 . The biggest common factor number is the GCF number.
So the greatest common factor 773,928 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 677/773, 541/928?
Answer: LCM of Numerators as per given numbers 677/773, 541/928 is
LCM of Numerators i.e. for 677,541 is 366257
GCF of denominators i.e. for 773,928 is 1.
Thus, LCM of Fractions is 366257.Finally, LCM of Fractions for 677/773, 541/928 is 366257.