Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 506/46, 843/7381 quickly i.e. 426558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 506/46, 843/7381 is 426558.
LCM(506/46, 843/7381) = 426558
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 506/46,843/7381
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 506,843
Least Common Multiple of Numerators i.e. LCM of 506,843 is 426558.
GCF of Denominators means GCF of 46,7381 as per the given fractions.
GCF of 46,7381 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 506,843
Given numbers has no common factors except 1. So, there LCM is their product i.e 426558
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 506,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(506,843) x common factors =1 x 1 = 1
LCM(506,843) = ( 506 × 843 ) / 1
LCM(506,843) = 426558 / 1
LCM(506,843) = 426558
Lets's calculate GCF of 46,7381
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 426558/1
Therefore the LCM of Fractions 506/46,843/7381 is 426558
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 7381
List of positive integer factors of 7381 that divides 7381 without a remainder.
1,11,61,121,671,7381
Greatest Common Factor
We found the factors 46,7381 . The biggest common factor number is the GCF number.
So the greatest common factor 46,7381 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 506/46, 843/7381?
Answer: LCM of Numerators as per given numbers 506/46, 843/7381 is
LCM of Numerators i.e. for 506,843 is 426558
GCF of denominators i.e. for 46,7381 is 1.
Thus, LCM of Fractions is 426558.Finally, LCM of Fractions for 506/46, 843/7381 is 426558.