Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/760, 1864/5781 quickly i.e. 106248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/760, 1864/5781 is 106248.
LCM(57/760, 1864/5781) = 106248
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/760,1864/5781
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 57,1864
Least Common Multiple of Numerators i.e. LCM of 57,1864 is 106248.
GCF of Denominators means GCF of 760,5781 as per the given fractions.
GCF of 760,5781 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,1864
Given numbers has no common factors except 1. So, there LCM is their product i.e 106248
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 57,1864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,1864) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,1864) x common factors =1 x 1 = 1
LCM(57,1864) = ( 57 × 1864 ) / 1
LCM(57,1864) = 106248 / 1
LCM(57,1864) = 106248
Lets's calculate GCF of 760,5781
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106248/1
Therefore the LCM of Fractions 57/760,1864/5781 is 106248
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Factors of 5781
List of positive integer factors of 5781 that divides 5781 without a remainder.
1,3,41,47,123,141,1927,5781
Greatest Common Factor
We found the factors 760,5781 . The biggest common factor number is the GCF number.
So the greatest common factor 760,5781 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 57/760, 1864/5781?
Answer: LCM of Numerators as per given numbers 57/760, 1864/5781 is
LCM of Numerators i.e. for 57,1864 is 106248
GCF of denominators i.e. for 760,5781 is 1.
Thus, LCM of Fractions is 106248.Finally, LCM of Fractions for 57/760, 1864/5781 is 106248.