Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/815, 96/385, 469/871 quickly i.e. 45024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/815, 96/385, 469/871 is 45024.
LCM(84/815, 96/385, 469/871) = 45024
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/815,96/385,469/871
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 84,96,469
Least Common Multiple of Numerators i.e. LCM of 84,96,469 is 45024.
GCF of Denominators means GCF of 815,385,871 as per the given fractions.
GCF of 815,385,871 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,96,469
2 | 84, 96, 469 |
2 | 42, 48, 469 |
3 | 21, 24, 469 |
7 | 7, 8, 469 |
1, 8, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 8 x 67 = 45024
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 84,96,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,96,469) = 1
common factors(in case of two or more numbers have common factors) = 84
GCF(84,96,469) x common factors =1 x 84 = 84
LCM(84,96,469) = ( 84 × 96 × 469 ) / 84
LCM(84,96,469) = 3782016 / 84
LCM(84,96,469) = 45024
Lets's calculate GCF of 815,385,871
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45024/1
Therefore the LCM of Fractions 84/815,96/385,469/871 is 45024
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Greatest Common Factor
We found the factors 815,385,871 . The biggest common factor number is the GCF number.
So the greatest common factor 815,385,871 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 84/815, 96/385, 469/871?
Answer: LCM of Numerators as per given numbers 84/815, 96/385, 469/871 is
LCM of Numerators i.e. for 84,96,469 is 45024
GCF of denominators i.e. for 815,385,871 is 1.
Thus, LCM of Fractions is 45024.Finally, LCM of Fractions for 84/815, 96/385, 469/871 is 45024.