Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 172/253, 531/435, 737/183 quickly i.e. 67311684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 172/253, 531/435, 737/183 is 67311684.
LCM(172/253, 531/435, 737/183) = 67311684
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 172/253,531/435,737/183
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 172,531,737
Least Common Multiple of Numerators i.e. LCM of 172,531,737 is 67311684.
GCF of Denominators means GCF of 253,435,183 as per the given fractions.
GCF of 253,435,183 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 172,531,737
Given numbers has no common factors except 1. So, there LCM is their product i.e 67311684
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 172,531,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,531,737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,531,737) x common factors =1 x 1 = 1
LCM(172,531,737) = ( 172 × 531 × 737 ) / 1
LCM(172,531,737) = 67311684 / 1
LCM(172,531,737) = 67311684
Lets's calculate GCF of 253,435,183
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67311684/1
Therefore the LCM of Fractions 172/253,531/435,737/183 is 67311684
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Greatest Common Factor
We found the factors 253,435,183 . The biggest common factor number is the GCF number.
So the greatest common factor 253,435,183 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 172/253, 531/435, 737/183?
Answer: LCM of Numerators as per given numbers 172/253, 531/435, 737/183 is
LCM of Numerators i.e. for 172,531,737 is 67311684
GCF of denominators i.e. for 253,435,183 is 1.
Thus, LCM of Fractions is 67311684.Finally, LCM of Fractions for 172/253, 531/435, 737/183 is 67311684.