Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 522/12, 793/4150 quickly i.e. 206973 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 522/12, 793/4150 is 206973.
LCM(522/12, 793/4150) = 206973
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 522/12,793/4150
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 522,793
Least Common Multiple of Numerators i.e. LCM of 522,793 is 413946.
GCF of Denominators means GCF of 12,4150 as per the given fractions.
GCF of 12,4150 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 522,793
Given numbers has no common factors except 1. So, there LCM is their product i.e 413946
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 522,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(522,793) x common factors =1 x 1 = 1
LCM(522,793) = ( 522 × 793 ) / 1
LCM(522,793) = 413946 / 1
LCM(522,793) = 413946
Lets's calculate GCF of 12,4150
2 | 12, 4150 |
6, 2075 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 413946/2
Therefore the LCM of Fractions 522/12,793/4150 is 206973
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 4150
List of positive integer factors of 4150 that divides 4150 without a remainder.
1,2,5,10,25,50,83,166,415,830,2075,4150
Greatest Common Factor
We found the factors 12,4150 . The biggest common factor number is the GCF number.
So the greatest common factor 12,4150 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 522/12, 793/4150?
Answer: LCM of Numerators as per given numbers 522/12, 793/4150 is
LCM of Numerators i.e. for 522,793 is 413946
GCF of denominators i.e. for 12,4150 is 2.
Thus, LCM of Fractions is 206973.Finally, LCM of Fractions for 522/12, 793/4150 is 206973.