Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/18, 41/33, 27/65, 56/848 quickly i.e. 4897368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/18, 41/33, 27/65, 56/848 is 4897368.
LCM(79/18, 41/33, 27/65, 56/848) = 4897368
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/18,41/33,27/65,56/848
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 79,41,27,56
Least Common Multiple of Numerators i.e. LCM of 79,41,27,56 is 4897368.
GCF of Denominators means GCF of 18,33,65,848 as per the given fractions.
GCF of 18,33,65,848 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,41,27,56
Given numbers has no common factors except 1. So, there LCM is their product i.e 4897368
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 79,41,27,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,41,27,56) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,41,27,56) x common factors =1 x 1 = 1
LCM(79,41,27,56) = ( 79 × 41 × 27 × 56 ) / 1
LCM(79,41,27,56) = 4897368 / 1
LCM(79,41,27,56) = 4897368
Lets's calculate GCF of 18,33,65,848
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4897368/1
Therefore the LCM of Fractions 79/18,41/33,27/65,56/848 is 4897368
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
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
Greatest Common Factor
We found the factors 18,33,65,848 . The biggest common factor number is the GCF number.
So the greatest common factor 18,33,65,848 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 79/18, 41/33, 27/65, 56/848?
Answer: LCM of Numerators as per given numbers 79/18, 41/33, 27/65, 56/848 is
LCM of Numerators i.e. for 79,41,27,56 is 4897368
GCF of denominators i.e. for 18,33,65,848 is 1.
Thus, LCM of Fractions is 4897368.Finally, LCM of Fractions for 79/18, 41/33, 27/65, 56/848 is 4897368.