Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/976, 38/848, 736/105 quickly i.e. 573344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/976, 38/848, 736/105 is 573344.
LCM(82/976, 38/848, 736/105) = 573344
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/976,38/848,736/105
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 82,38,736
Least Common Multiple of Numerators i.e. LCM of 82,38,736 is 573344.
GCF of Denominators means GCF of 976,848,105 as per the given fractions.
GCF of 976,848,105 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,38,736
2 | 82, 38, 736 |
41, 19, 368 |
∴ So the LCM of the given numbers is 2 x 41 x 19 x 368 = 573344
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 82,38,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,38,736) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(82,38,736) x common factors =2 x 2 = 4
LCM(82,38,736) = ( 82 × 38 × 736 ) / 4
LCM(82,38,736) = 2293376 / 4
LCM(82,38,736) = 573344
Lets's calculate GCF of 976,848,105
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 573344/1
Therefore the LCM of Fractions 82/976,38/848,736/105 is 573344
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Greatest Common Factor
We found the factors 976,848,105 . The biggest common factor number is the GCF number.
So the greatest common factor 976,848,105 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 82/976, 38/848, 736/105?
Answer: LCM of Numerators as per given numbers 82/976, 38/848, 736/105 is
LCM of Numerators i.e. for 82,38,736 is 573344
GCF of denominators i.e. for 976,848,105 is 1.
Thus, LCM of Fractions is 573344.Finally, LCM of Fractions for 82/976, 38/848, 736/105 is 573344.