Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 446/76, 927/8269 quickly i.e. 413442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 446/76, 927/8269 is 413442.
LCM(446/76, 927/8269) = 413442
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 446/76,927/8269
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 446,927
Least Common Multiple of Numerators i.e. LCM of 446,927 is 413442.
GCF of Denominators means GCF of 76,8269 as per the given fractions.
GCF of 76,8269 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 446,927
Given numbers has no common factors except 1. So, there LCM is their product i.e 413442
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 446,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,927) x common factors =1 x 1 = 1
LCM(446,927) = ( 446 × 927 ) / 1
LCM(446,927) = 413442 / 1
LCM(446,927) = 413442
Lets's calculate GCF of 76,8269
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 413442/1
Therefore the LCM of Fractions 446/76,927/8269 is 413442
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 8269
List of positive integer factors of 8269 that divides 8269 without a remainder.
1,8269
Greatest Common Factor
We found the factors 76,8269 . The biggest common factor number is the GCF number.
So the greatest common factor 76,8269 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 446/76, 927/8269?
Answer: LCM of Numerators as per given numbers 446/76, 927/8269 is
LCM of Numerators i.e. for 446,927 is 413442
GCF of denominators i.e. for 76,8269 is 1.
Thus, LCM of Fractions is 413442.Finally, LCM of Fractions for 446/76, 927/8269 is 413442.