Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/422, 3393/2996 quickly i.e. 156078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/422, 3393/2996 is 156078.
LCM(92/422, 3393/2996) = 156078
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/422,3393/2996
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 92,3393
Least Common Multiple of Numerators i.e. LCM of 92,3393 is 312156.
GCF of Denominators means GCF of 422,2996 as per the given fractions.
GCF of 422,2996 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,3393
Given numbers has no common factors except 1. So, there LCM is their product i.e 312156
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 92,3393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,3393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,3393) x common factors =1 x 1 = 1
LCM(92,3393) = ( 92 × 3393 ) / 1
LCM(92,3393) = 312156 / 1
LCM(92,3393) = 312156
Lets's calculate GCF of 422,2996
2 | 422, 2996 |
211, 1498 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312156/2
Therefore the LCM of Fractions 92/422,3393/2996 is 156078
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Factors of 2996
List of positive integer factors of 2996 that divides 2996 without a remainder.
1,2,4,7,14,28,107,214,428,749,1498,2996
Greatest Common Factor
We found the factors 422,2996 . The biggest common factor number is the GCF number.
So the greatest common factor 422,2996 is 2.
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 92/422, 3393/2996?
Answer: LCM of Numerators as per given numbers 92/422, 3393/2996 is
LCM of Numerators i.e. for 92,3393 is 312156
GCF of denominators i.e. for 422,2996 is 2.
Thus, LCM of Fractions is 156078.Finally, LCM of Fractions for 92/422, 3393/2996 is 156078.