Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1428/635, 1301/481 quickly i.e. 1857828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1428/635, 1301/481 is 1857828.
LCM(1428/635, 1301/481) = 1857828
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1428/635,1301/481
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 1428,1301
Least Common Multiple of Numerators i.e. LCM of 1428,1301 is 1857828.
GCF of Denominators means GCF of 635,481 as per the given fractions.
GCF of 635,481 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1428,1301
Given numbers has no common factors except 1. So, there LCM is their product i.e 1857828
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 1428,1301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1428,1301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1428,1301) x common factors =1 x 1 = 1
LCM(1428,1301) = ( 1428 × 1301 ) / 1
LCM(1428,1301) = 1857828 / 1
LCM(1428,1301) = 1857828
Lets's calculate GCF of 635,481
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1857828/1
Therefore the LCM of Fractions 1428/635,1301/481 is 1857828
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Greatest Common Factor
We found the factors 635,481 . The biggest common factor number is the GCF number.
So the greatest common factor 635,481 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 1428/635, 1301/481?
Answer: LCM of Numerators as per given numbers 1428/635, 1301/481 is
LCM of Numerators i.e. for 1428,1301 is 1857828
GCF of denominators i.e. for 635,481 is 1.
Thus, LCM of Fractions is 1857828.Finally, LCM of Fractions for 1428/635, 1301/481 is 1857828.