Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 947/39, 392/2384 quickly i.e. 371224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 947/39, 392/2384 is 371224.
LCM(947/39, 392/2384) = 371224
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 947/39,392/2384
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 947,392
Least Common Multiple of Numerators i.e. LCM of 947,392 is 371224.
GCF of Denominators means GCF of 39,2384 as per the given fractions.
GCF of 39,2384 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 947,392
Given numbers has no common factors except 1. So, there LCM is their product i.e 371224
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 947,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,392) x common factors =1 x 1 = 1
LCM(947,392) = ( 947 × 392 ) / 1
LCM(947,392) = 371224 / 1
LCM(947,392) = 371224
Lets's calculate GCF of 39,2384
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371224/1
Therefore the LCM of Fractions 947/39,392/2384 is 371224
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 2384
List of positive integer factors of 2384 that divides 2384 without a remainder.
1,2,4,8,16,149,298,596,1192,2384
Greatest Common Factor
We found the factors 39,2384 . The biggest common factor number is the GCF number.
So the greatest common factor 39,2384 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 947/39, 392/2384?
Answer: LCM of Numerators as per given numbers 947/39, 392/2384 is
LCM of Numerators i.e. for 947,392 is 371224
GCF of denominators i.e. for 39,2384 is 1.
Thus, LCM of Fractions is 371224.Finally, LCM of Fractions for 947/39, 392/2384 is 371224.