Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 407/29, 967/2331 quickly i.e. 393569 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 407/29, 967/2331 is 393569.
LCM(407/29, 967/2331) = 393569
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 407/29,967/2331
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 407,967
Least Common Multiple of Numerators i.e. LCM of 407,967 is 393569.
GCF of Denominators means GCF of 29,2331 as per the given fractions.
GCF of 29,2331 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 407,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 393569
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 407,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,967) x common factors =1 x 1 = 1
LCM(407,967) = ( 407 × 967 ) / 1
LCM(407,967) = 393569 / 1
LCM(407,967) = 393569
Lets's calculate GCF of 29,2331
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 393569/1
Therefore the LCM of Fractions 407/29,967/2331 is 393569
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 2331
List of positive integer factors of 2331 that divides 2331 without a remainder.
1,3,7,9,21,37,63,111,259,333,777,2331
Greatest Common Factor
We found the factors 29,2331 . The biggest common factor number is the GCF number.
So the greatest common factor 29,2331 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 407/29, 967/2331?
Answer: LCM of Numerators as per given numbers 407/29, 967/2331 is
LCM of Numerators i.e. for 407,967 is 393569
GCF of denominators i.e. for 29,2331 is 1.
Thus, LCM of Fractions is 393569.Finally, LCM of Fractions for 407/29, 967/2331 is 393569.