Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 332/50, 443/4546 quickly i.e. 73538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 332/50, 443/4546 is 73538.
LCM(332/50, 443/4546) = 73538
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 332/50,443/4546
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 332,443
Least Common Multiple of Numerators i.e. LCM of 332,443 is 147076.
GCF of Denominators means GCF of 50,4546 as per the given fractions.
GCF of 50,4546 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 332,443
Given numbers has no common factors except 1. So, there LCM is their product i.e 147076
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 332,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,443) x common factors =1 x 1 = 1
LCM(332,443) = ( 332 × 443 ) / 1
LCM(332,443) = 147076 / 1
LCM(332,443) = 147076
Lets's calculate GCF of 50,4546
2 | 50, 4546 |
25, 2273 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147076/2
Therefore the LCM of Fractions 332/50,443/4546 is 73538
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 4546
List of positive integer factors of 4546 that divides 4546 without a remainder.
1,2,2273,4546
Greatest Common Factor
We found the factors 50,4546 . The biggest common factor number is the GCF number.
So the greatest common factor 50,4546 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 332/50, 443/4546?
Answer: LCM of Numerators as per given numbers 332/50, 443/4546 is
LCM of Numerators i.e. for 332,443 is 147076
GCF of denominators i.e. for 50,4546 is 2.
Thus, LCM of Fractions is 73538.Finally, LCM of Fractions for 332/50, 443/4546 is 73538.