Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 792/37, 533/5126 quickly i.e. 422136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 792/37, 533/5126 is 422136.
LCM(792/37, 533/5126) = 422136
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 792/37,533/5126
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 792,533
Least Common Multiple of Numerators i.e. LCM of 792,533 is 422136.
GCF of Denominators means GCF of 37,5126 as per the given fractions.
GCF of 37,5126 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 792,533
Given numbers has no common factors except 1. So, there LCM is their product i.e 422136
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 792,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(792,533) x common factors =1 x 1 = 1
LCM(792,533) = ( 792 × 533 ) / 1
LCM(792,533) = 422136 / 1
LCM(792,533) = 422136
Lets's calculate GCF of 37,5126
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 422136/1
Therefore the LCM of Fractions 792/37,533/5126 is 422136
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 5126
List of positive integer factors of 5126 that divides 5126 without a remainder.
1,2,11,22,233,466,2563,5126
Greatest Common Factor
We found the factors 37,5126 . The biggest common factor number is the GCF number.
So the greatest common factor 37,5126 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 792/37, 533/5126?
Answer: LCM of Numerators as per given numbers 792/37, 533/5126 is
LCM of Numerators i.e. for 792,533 is 422136
GCF of denominators i.e. for 37,5126 is 1.
Thus, LCM of Fractions is 422136.Finally, LCM of Fractions for 792/37, 533/5126 is 422136.