Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 125/932, 3109/233 quickly i.e. 388625/233 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 125/932, 3109/233 is 388625/233.
LCM(125/932, 3109/233) = 388625/233
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 125/932,3109/233
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 125,3109
Least Common Multiple of Numerators i.e. LCM of 125,3109 is 388625.
GCF of Denominators means GCF of 932,233 as per the given fractions.
GCF of 932,233 is 233 as it is the largest common factor for these numbers.
Lets's calculate LCM of 125,3109
Given numbers has no common factors except 1. So, there LCM is their product i.e 388625
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 125,3109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,3109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,3109) x common factors =1 x 1 = 1
LCM(125,3109) = ( 125 × 3109 ) / 1
LCM(125,3109) = 388625 / 1
LCM(125,3109) = 388625
Lets's calculate GCF of 932,233
233 | 932, 233 |
4, 1 |
∴ So the GCF of the given numbers is 233 = 233
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 388625/233
Therefore the LCM of Fractions 125/932,3109/233 is 388625/233
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Greatest Common Factor
We found the factors 932,233 . The biggest common factor number is the GCF number.
So the greatest common factor 932,233 is 233.
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 125/932, 3109/233?
Answer: LCM of Numerators as per given numbers 125/932, 3109/233 is
LCM of Numerators i.e. for 125,3109 is 388625
GCF of denominators i.e. for 932,233 is 233.
Thus, LCM of Fractions is 388625/233.Finally, LCM of Fractions for 125/932, 3109/233 is 388625/233.