Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 386/637, 7732/446 quickly i.e. 1492276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 386/637, 7732/446 is 1492276.
LCM(386/637, 7732/446) = 1492276
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 386/637,7732/446
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 386,7732
Least Common Multiple of Numerators i.e. LCM of 386,7732 is 1492276.
GCF of Denominators means GCF of 637,446 as per the given fractions.
GCF of 637,446 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 386,7732
2 | 386, 7732 |
193, 3866 |
∴ So the LCM of the given numbers is 2 x 193 x 3866 = 1492276
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 386,7732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,7732) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(386,7732) x common factors =2 x 1 = 2
LCM(386,7732) = ( 386 × 7732 ) / 2
LCM(386,7732) = 2984552 / 2
LCM(386,7732) = 1492276
Lets's calculate GCF of 637,446
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1492276/1
Therefore the LCM of Fractions 386/637,7732/446 is 1492276
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Greatest Common Factor
We found the factors 637,446 . The biggest common factor number is the GCF number.
So the greatest common factor 637,446 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 386/637, 7732/446?
Answer: LCM of Numerators as per given numbers 386/637, 7732/446 is
LCM of Numerators i.e. for 386,7732 is 1492276
GCF of denominators i.e. for 637,446 is 1.
Thus, LCM of Fractions is 1492276.Finally, LCM of Fractions for 386/637, 7732/446 is 1492276.