Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 928/637, 1377/8317 quickly i.e. 1277856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 928/637, 1377/8317 is 1277856.
LCM(928/637, 1377/8317) = 1277856
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 928/637,1377/8317
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 928,1377
Least Common Multiple of Numerators i.e. LCM of 928,1377 is 1277856.
GCF of Denominators means GCF of 637,8317 as per the given fractions.
GCF of 637,8317 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 928,1377
Given numbers has no common factors except 1. So, there LCM is their product i.e 1277856
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 928,1377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,1377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(928,1377) x common factors =1 x 1 = 1
LCM(928,1377) = ( 928 × 1377 ) / 1
LCM(928,1377) = 1277856 / 1
LCM(928,1377) = 1277856
Lets's calculate GCF of 637,8317
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1277856/1
Therefore the LCM of Fractions 928/637,1377/8317 is 1277856
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 8317
List of positive integer factors of 8317 that divides 8317 without a remainder.
1,8317
Greatest Common Factor
We found the factors 637,8317 . The biggest common factor number is the GCF number.
So the greatest common factor 637,8317 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 928/637, 1377/8317?
Answer: LCM of Numerators as per given numbers 928/637, 1377/8317 is
LCM of Numerators i.e. for 928,1377 is 1277856
GCF of denominators i.e. for 637,8317 is 1.
Thus, LCM of Fractions is 1277856.Finally, LCM of Fractions for 928/637, 1377/8317 is 1277856.