Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/415, 8454/6641 quickly i.e. 262074 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/415, 8454/6641 is 262074.
LCM(62/415, 8454/6641) = 262074
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/415,8454/6641
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 62,8454
Least Common Multiple of Numerators i.e. LCM of 62,8454 is 262074.
GCF of Denominators means GCF of 415,6641 as per the given fractions.
GCF of 415,6641 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,8454
2 | 62, 8454 |
31, 4227 |
∴ So the LCM of the given numbers is 2 x 31 x 4227 = 262074
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 62,8454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,8454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,8454) x common factors =2 x 1 = 2
LCM(62,8454) = ( 62 × 8454 ) / 2
LCM(62,8454) = 524148 / 2
LCM(62,8454) = 262074
Lets's calculate GCF of 415,6641
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262074/1
Therefore the LCM of Fractions 62/415,8454/6641 is 262074
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 6641
List of positive integer factors of 6641 that divides 6641 without a remainder.
1,29,229,6641
Greatest Common Factor
We found the factors 415,6641 . The biggest common factor number is the GCF number.
So the greatest common factor 415,6641 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 62/415, 8454/6641?
Answer: LCM of Numerators as per given numbers 62/415, 8454/6641 is
LCM of Numerators i.e. for 62,8454 is 262074
GCF of denominators i.e. for 415,6641 is 1.
Thus, LCM of Fractions is 262074.Finally, LCM of Fractions for 62/415, 8454/6641 is 262074.