Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 854/479, 122/550, 724/893 quickly i.e. 309148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 854/479, 122/550, 724/893 is 309148.
LCM(854/479, 122/550, 724/893) = 309148
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 854/479,122/550,724/893
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 854,122,724
Least Common Multiple of Numerators i.e. LCM of 854,122,724 is 309148.
GCF of Denominators means GCF of 479,550,893 as per the given fractions.
GCF of 479,550,893 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 854,122,724
2 | 854, 122, 724 |
61 | 427, 61, 362 |
7, 1, 362 |
∴ So the LCM of the given numbers is 2 x 61 x 7 x 1 x 362 = 309148
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 854,122,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,122,724) = 2
common factors(in case of two or more numbers have common factors) = 122
GCF(854,122,724) x common factors =2 x 122 = 244
LCM(854,122,724) = ( 854 × 122 × 724 ) / 244
LCM(854,122,724) = 75432112 / 244
LCM(854,122,724) = 309148
Lets's calculate GCF of 479,550,893
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309148/1
Therefore the LCM of Fractions 854/479,122/550,724/893 is 309148
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Greatest Common Factor
We found the factors 479,550,893 . The biggest common factor number is the GCF number.
So the greatest common factor 479,550,893 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 854/479, 122/550, 724/893?
Answer: LCM of Numerators as per given numbers 854/479, 122/550, 724/893 is
LCM of Numerators i.e. for 854,122,724 is 309148
GCF of denominators i.e. for 479,550,893 is 1.
Thus, LCM of Fractions is 309148.Finally, LCM of Fractions for 854/479, 122/550, 724/893 is 309148.