Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 725/36, 925/2899 quickly i.e. 26825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 725/36, 925/2899 is 26825.
LCM(725/36, 925/2899) = 26825
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 725/36,925/2899
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 725,925
Least Common Multiple of Numerators i.e. LCM of 725,925 is 26825.
GCF of Denominators means GCF of 36,2899 as per the given fractions.
GCF of 36,2899 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 725,925
5 | 725, 925 |
5 | 145, 185 |
29, 37 |
∴ So the LCM of the given numbers is 5 x 5 x 29 x 37 = 26825
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 725,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,925) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(725,925) x common factors =25 x 1 = 25
LCM(725,925) = ( 725 × 925 ) / 25
LCM(725,925) = 670625 / 25
LCM(725,925) = 26825
Lets's calculate GCF of 36,2899
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26825/1
Therefore the LCM of Fractions 725/36,925/2899 is 26825
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 2899
List of positive integer factors of 2899 that divides 2899 without a remainder.
1,13,223,2899
Greatest Common Factor
We found the factors 36,2899 . The biggest common factor number is the GCF number.
So the greatest common factor 36,2899 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 725/36, 925/2899?
Answer: LCM of Numerators as per given numbers 725/36, 925/2899 is
LCM of Numerators i.e. for 725,925 is 26825
GCF of denominators i.e. for 36,2899 is 1.
Thus, LCM of Fractions is 26825.Finally, LCM of Fractions for 725/36, 925/2899 is 26825.