Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 928/883, 813/560 quickly i.e. 754464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 928/883, 813/560 is 754464.
LCM(928/883, 813/560) = 754464
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 928/883,813/560
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 928,813
Least Common Multiple of Numerators i.e. LCM of 928,813 is 754464.
GCF of Denominators means GCF of 883,560 as per the given fractions.
GCF of 883,560 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 928,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 754464
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 928,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(928,813) x common factors =1 x 1 = 1
LCM(928,813) = ( 928 × 813 ) / 1
LCM(928,813) = 754464 / 1
LCM(928,813) = 754464
Lets's calculate GCF of 883,560
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 754464/1
Therefore the LCM of Fractions 928/883,813/560 is 754464
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 883,560 . The biggest common factor number is the GCF number.
So the greatest common factor 883,560 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 928/883, 813/560?
Answer: LCM of Numerators as per given numbers 928/883, 813/560 is
LCM of Numerators i.e. for 928,813 is 754464
GCF of denominators i.e. for 883,560 is 1.
Thus, LCM of Fractions is 754464.Finally, LCM of Fractions for 928/883, 813/560 is 754464.