Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 890/48, 877/5743 quickly i.e. 780530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 890/48, 877/5743 is 780530.
LCM(890/48, 877/5743) = 780530
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 890/48,877/5743
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 890,877
Least Common Multiple of Numerators i.e. LCM of 890,877 is 780530.
GCF of Denominators means GCF of 48,5743 as per the given fractions.
GCF of 48,5743 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 890,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 780530
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 890,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(890,877) x common factors =1 x 1 = 1
LCM(890,877) = ( 890 × 877 ) / 1
LCM(890,877) = 780530 / 1
LCM(890,877) = 780530
Lets's calculate GCF of 48,5743
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 780530/1
Therefore the LCM of Fractions 890/48,877/5743 is 780530
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 5743
List of positive integer factors of 5743 that divides 5743 without a remainder.
1,5743
Greatest Common Factor
We found the factors 48,5743 . The biggest common factor number is the GCF number.
So the greatest common factor 48,5743 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 890/48, 877/5743?
Answer: LCM of Numerators as per given numbers 890/48, 877/5743 is
LCM of Numerators i.e. for 890,877 is 780530
GCF of denominators i.e. for 48,5743 is 1.
Thus, LCM of Fractions is 780530.Finally, LCM of Fractions for 890/48, 877/5743 is 780530.