Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/426, 5689/1433 quickly i.e. 210493 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/426, 5689/1433 is 210493.
LCM(37/426, 5689/1433) = 210493
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/426,5689/1433
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 37,5689
Least Common Multiple of Numerators i.e. LCM of 37,5689 is 210493.
GCF of Denominators means GCF of 426,1433 as per the given fractions.
GCF of 426,1433 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,5689
Given numbers has no common factors except 1. So, there LCM is their product i.e 210493
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 37,5689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,5689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,5689) x common factors =1 x 1 = 1
LCM(37,5689) = ( 37 × 5689 ) / 1
LCM(37,5689) = 210493 / 1
LCM(37,5689) = 210493
Lets's calculate GCF of 426,1433
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210493/1
Therefore the LCM of Fractions 37/426,5689/1433 is 210493
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 1433
List of positive integer factors of 1433 that divides 1433 without a remainder.
1,1433
Greatest Common Factor
We found the factors 426,1433 . The biggest common factor number is the GCF number.
So the greatest common factor 426,1433 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 37/426, 5689/1433?
Answer: LCM of Numerators as per given numbers 37/426, 5689/1433 is
LCM of Numerators i.e. for 37,5689 is 210493
GCF of denominators i.e. for 426,1433 is 1.
Thus, LCM of Fractions is 210493.Finally, LCM of Fractions for 37/426, 5689/1433 is 210493.