Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5750/332, 6133/730 quickly i.e. 17632375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5750/332, 6133/730 is 17632375.
LCM(5750/332, 6133/730) = 17632375
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5750/332,6133/730
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 5750,6133
Least Common Multiple of Numerators i.e. LCM of 5750,6133 is 35264750.
GCF of Denominators means GCF of 332,730 as per the given fractions.
GCF of 332,730 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5750,6133
Given numbers has no common factors except 1. So, there LCM is their product i.e 35264750
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 5750,6133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5750,6133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5750,6133) x common factors =1 x 1 = 1
LCM(5750,6133) = ( 5750 × 6133 ) / 1
LCM(5750,6133) = 35264750 / 1
LCM(5750,6133) = 35264750
Lets's calculate GCF of 332,730
2 | 332, 730 |
166, 365 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35264750/2
Therefore the LCM of Fractions 5750/332,6133/730 is 17632375
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 332,730 . The biggest common factor number is the GCF number.
So the greatest common factor 332,730 is 2.
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 5750/332, 6133/730?
Answer: LCM of Numerators as per given numbers 5750/332, 6133/730 is
LCM of Numerators i.e. for 5750,6133 is 35264750
GCF of denominators i.e. for 332,730 is 2.
Thus, LCM of Fractions is 17632375.Finally, LCM of Fractions for 5750/332, 6133/730 is 17632375.