Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/41, 4/75, 47/87, 29/969 quickly i.e. 16356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/41, 4/75, 47/87, 29/969 is 16356.
LCM(3/41, 4/75, 47/87, 29/969) = 16356
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/41,4/75,47/87,29/969
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 3,4,47,29
Least Common Multiple of Numerators i.e. LCM of 3,4,47,29 is 16356.
GCF of Denominators means GCF of 41,75,87,969 as per the given fractions.
GCF of 41,75,87,969 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,4,47,29
Given numbers has no common factors except 1. So, there LCM is their product i.e 16356
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 3,4,47,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,4,47,29) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3,4,47,29) x common factors =1 x 1 = 1
LCM(3,4,47,29) = ( 3 × 4 × 47 × 29 ) / 1
LCM(3,4,47,29) = 16356 / 1
LCM(3,4,47,29) = 16356
Lets's calculate GCF of 41,75,87,969
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16356/1
Therefore the LCM of Fractions 3/41,4/75,47/87,29/969 is 16356
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Greatest Common Factor
We found the factors 41,75,87,969 . The biggest common factor number is the GCF number.
So the greatest common factor 41,75,87,969 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 3/41, 4/75, 47/87, 29/969?
Answer: LCM of Numerators as per given numbers 3/41, 4/75, 47/87, 29/969 is
LCM of Numerators i.e. for 3,4,47,29 is 16356
GCF of denominators i.e. for 41,75,87,969 is 1.
Thus, LCM of Fractions is 16356.Finally, LCM of Fractions for 3/41, 4/75, 47/87, 29/969 is 16356.