Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5129/366, 2749/2535 quickly i.e. 14099621/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5129/366, 2749/2535 is 14099621/3.
LCM(5129/366, 2749/2535) = 14099621/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5129/366,2749/2535
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 5129,2749
Least Common Multiple of Numerators i.e. LCM of 5129,2749 is 14099621.
GCF of Denominators means GCF of 366,2535 as per the given fractions.
GCF of 366,2535 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5129,2749
Given numbers has no common factors except 1. So, there LCM is their product i.e 14099621
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 5129,2749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5129,2749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5129,2749) x common factors =1 x 1 = 1
LCM(5129,2749) = ( 5129 × 2749 ) / 1
LCM(5129,2749) = 14099621 / 1
LCM(5129,2749) = 14099621
Lets's calculate GCF of 366,2535
3 | 366, 2535 |
122, 845 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14099621/3
Therefore the LCM of Fractions 5129/366,2749/2535 is 14099621/3
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 2535
List of positive integer factors of 2535 that divides 2535 without a remainder.
1,3,5,13,15,39,65,169,195,507,845,2535
Greatest Common Factor
We found the factors 366,2535 . The biggest common factor number is the GCF number.
So the greatest common factor 366,2535 is 3.
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 5129/366, 2749/2535?
Answer: LCM of Numerators as per given numbers 5129/366, 2749/2535 is
LCM of Numerators i.e. for 5129,2749 is 14099621
GCF of denominators i.e. for 366,2535 is 3.
Thus, LCM of Fractions is 14099621/3.Finally, LCM of Fractions for 5129/366, 2749/2535 is 14099621/3.