Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 638/37, 369/3446 quickly i.e. 235422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 638/37, 369/3446 is 235422.
LCM(638/37, 369/3446) = 235422
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 638/37,369/3446
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 638,369
Least Common Multiple of Numerators i.e. LCM of 638,369 is 235422.
GCF of Denominators means GCF of 37,3446 as per the given fractions.
GCF of 37,3446 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 638,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 235422
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 638,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,369) x common factors =1 x 1 = 1
LCM(638,369) = ( 638 × 369 ) / 1
LCM(638,369) = 235422 / 1
LCM(638,369) = 235422
Lets's calculate GCF of 37,3446
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235422/1
Therefore the LCM of Fractions 638/37,369/3446 is 235422
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 3446
List of positive integer factors of 3446 that divides 3446 without a remainder.
1,2,1723,3446
Greatest Common Factor
We found the factors 37,3446 . The biggest common factor number is the GCF number.
So the greatest common factor 37,3446 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 638/37, 369/3446?
Answer: LCM of Numerators as per given numbers 638/37, 369/3446 is
LCM of Numerators i.e. for 638,369 is 235422
GCF of denominators i.e. for 37,3446 is 1.
Thus, LCM of Fractions is 235422.Finally, LCM of Fractions for 638/37, 369/3446 is 235422.