Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 953/37, 631/40, 161/24 quickly i.e. 96816223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 953/37, 631/40, 161/24 is 96816223.
LCM(953/37, 631/40, 161/24) = 96816223
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 953/37,631/40,161/24
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 953,631,161
Least Common Multiple of Numerators i.e. LCM of 953,631,161 is 96816223.
GCF of Denominators means GCF of 37,40,24 as per the given fractions.
GCF of 37,40,24 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 953,631,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 96816223
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 953,631,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,631,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,631,161) x common factors =1 x 1 = 1
LCM(953,631,161) = ( 953 × 631 × 161 ) / 1
LCM(953,631,161) = 96816223 / 1
LCM(953,631,161) = 96816223
Lets's calculate GCF of 37,40,24
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96816223/1
Therefore the LCM of Fractions 953/37,631/40,161/24 is 96816223
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Greatest Common Factor
We found the factors 37,40,24 . The biggest common factor number is the GCF number.
So the greatest common factor 37,40,24 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 953/37, 631/40, 161/24?
Answer: LCM of Numerators as per given numbers 953/37, 631/40, 161/24 is
LCM of Numerators i.e. for 953,631,161 is 96816223
GCF of denominators i.e. for 37,40,24 is 1.
Thus, LCM of Fractions is 96816223.Finally, LCM of Fractions for 953/37, 631/40, 161/24 is 96816223.