Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 227/638, 714/805 quickly i.e. 162078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 227/638, 714/805 is 162078.
LCM(227/638, 714/805) = 162078
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 227/638,714/805
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 227,714
Least Common Multiple of Numerators i.e. LCM of 227,714 is 162078.
GCF of Denominators means GCF of 638,805 as per the given fractions.
GCF of 638,805 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 227,714
Given numbers has no common factors except 1. So, there LCM is their product i.e 162078
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 227,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,714) x common factors =1 x 1 = 1
LCM(227,714) = ( 227 × 714 ) / 1
LCM(227,714) = 162078 / 1
LCM(227,714) = 162078
Lets's calculate GCF of 638,805
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162078/1
Therefore the LCM of Fractions 227/638,714/805 is 162078
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 638,805 . The biggest common factor number is the GCF number.
So the greatest common factor 638,805 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 227/638, 714/805?
Answer: LCM of Numerators as per given numbers 227/638, 714/805 is
LCM of Numerators i.e. for 227,714 is 162078
GCF of denominators i.e. for 638,805 is 1.
Thus, LCM of Fractions is 162078.Finally, LCM of Fractions for 227/638, 714/805 is 162078.