Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/848, 439/817, 563/742 quickly i.e. 11616379 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/848, 439/817, 563/742 is 11616379.
LCM(47/848, 439/817, 563/742) = 11616379
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/848,439/817,563/742
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 47,439,563
Least Common Multiple of Numerators i.e. LCM of 47,439,563 is 11616379.
GCF of Denominators means GCF of 848,817,742 as per the given fractions.
GCF of 848,817,742 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,439,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 11616379
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 47,439,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,439,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,439,563) x common factors =1 x 1 = 1
LCM(47,439,563) = ( 47 × 439 × 563 ) / 1
LCM(47,439,563) = 11616379 / 1
LCM(47,439,563) = 11616379
Lets's calculate GCF of 848,817,742
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11616379/1
Therefore the LCM of Fractions 47/848,439/817,563/742 is 11616379
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 817
List of positive integer factors of 817 that divides 817 without a remainder.
1,19,43,817
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 848,817,742 . The biggest common factor number is the GCF number.
So the greatest common factor 848,817,742 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 47/848, 439/817, 563/742?
Answer: LCM of Numerators as per given numbers 47/848, 439/817, 563/742 is
LCM of Numerators i.e. for 47,439,563 is 11616379
GCF of denominators i.e. for 848,817,742 is 1.
Thus, LCM of Fractions is 11616379.Finally, LCM of Fractions for 47/848, 439/817, 563/742 is 11616379.