Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2059/751, 3976/5599 quickly i.e. 115304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2059/751, 3976/5599 is 115304.
LCM(2059/751, 3976/5599) = 115304
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2059/751,3976/5599
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 2059,3976
Least Common Multiple of Numerators i.e. LCM of 2059,3976 is 115304.
GCF of Denominators means GCF of 751,5599 as per the given fractions.
GCF of 751,5599 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2059,3976
71 | 2059, 3976 |
29, 56 |
∴ So the LCM of the given numbers is 71 x 29 x 56 = 115304
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 2059,3976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2059,3976) = 71
common factors(in case of two or more numbers have common factors) = 1
GCF(2059,3976) x common factors =71 x 1 = 71
LCM(2059,3976) = ( 2059 × 3976 ) / 71
LCM(2059,3976) = 8186584 / 71
LCM(2059,3976) = 115304
Lets's calculate GCF of 751,5599
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115304/1
Therefore the LCM of Fractions 2059/751,3976/5599 is 115304
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Factors of 5599
List of positive integer factors of 5599 that divides 5599 without a remainder.
1,11,509,5599
Greatest Common Factor
We found the factors 751,5599 . The biggest common factor number is the GCF number.
So the greatest common factor 751,5599 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 2059/751, 3976/5599?
Answer: LCM of Numerators as per given numbers 2059/751, 3976/5599 is
LCM of Numerators i.e. for 2059,3976 is 115304
GCF of denominators i.e. for 751,5599 is 1.
Thus, LCM of Fractions is 115304.Finally, LCM of Fractions for 2059/751, 3976/5599 is 115304.