Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8478/407, 6922/6381 quickly i.e. 29342358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8478/407, 6922/6381 is 29342358.
LCM(8478/407, 6922/6381) = 29342358
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8478/407,6922/6381
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 8478,6922
Least Common Multiple of Numerators i.e. LCM of 8478,6922 is 29342358.
GCF of Denominators means GCF of 407,6381 as per the given fractions.
GCF of 407,6381 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8478,6922
2 | 8478, 6922 |
4239, 3461 |
∴ So the LCM of the given numbers is 2 x 4239 x 3461 = 29342358
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 8478,6922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8478,6922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8478,6922) x common factors =2 x 1 = 2
LCM(8478,6922) = ( 8478 × 6922 ) / 2
LCM(8478,6922) = 58684716 / 2
LCM(8478,6922) = 29342358
Lets's calculate GCF of 407,6381
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29342358/1
Therefore the LCM of Fractions 8478/407,6922/6381 is 29342358
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Factors of 6381
List of positive integer factors of 6381 that divides 6381 without a remainder.
1,3,9,709,2127,6381
Greatest Common Factor
We found the factors 407,6381 . The biggest common factor number is the GCF number.
So the greatest common factor 407,6381 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 8478/407, 6922/6381?
Answer: LCM of Numerators as per given numbers 8478/407, 6922/6381 is
LCM of Numerators i.e. for 8478,6922 is 29342358
GCF of denominators i.e. for 407,6381 is 1.
Thus, LCM of Fractions is 29342358.Finally, LCM of Fractions for 8478/407, 6922/6381 is 29342358.