Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5577/527, 2739/8530 quickly i.e. 462891 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5577/527, 2739/8530 is 462891.
LCM(5577/527, 2739/8530) = 462891
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5577/527,2739/8530
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 5577,2739
Least Common Multiple of Numerators i.e. LCM of 5577,2739 is 462891.
GCF of Denominators means GCF of 527,8530 as per the given fractions.
GCF of 527,8530 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5577,2739
3 | 5577, 2739 |
11 | 1859, 913 |
169, 83 |
∴ So the LCM of the given numbers is 3 x 11 x 169 x 83 = 462891
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 5577,2739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5577,2739) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(5577,2739) x common factors =33 x 1 = 33
LCM(5577,2739) = ( 5577 × 2739 ) / 33
LCM(5577,2739) = 15275403 / 33
LCM(5577,2739) = 462891
Lets's calculate GCF of 527,8530
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 462891/1
Therefore the LCM of Fractions 5577/527,2739/8530 is 462891
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Factors of 8530
List of positive integer factors of 8530 that divides 8530 without a remainder.
1,2,5,10,853,1706,4265,8530
Greatest Common Factor
We found the factors 527,8530 . The biggest common factor number is the GCF number.
So the greatest common factor 527,8530 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 5577/527, 2739/8530?
Answer: LCM of Numerators as per given numbers 5577/527, 2739/8530 is
LCM of Numerators i.e. for 5577,2739 is 462891
GCF of denominators i.e. for 527,8530 is 1.
Thus, LCM of Fractions is 462891.Finally, LCM of Fractions for 5577/527, 2739/8530 is 462891.