Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 893/576, 9770/4790 quickly i.e. 4362305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 893/576, 9770/4790 is 4362305.
LCM(893/576, 9770/4790) = 4362305
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 893/576,9770/4790
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 893,9770
Least Common Multiple of Numerators i.e. LCM of 893,9770 is 8724610.
GCF of Denominators means GCF of 576,4790 as per the given fractions.
GCF of 576,4790 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 893,9770
Given numbers has no common factors except 1. So, there LCM is their product i.e 8724610
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 893,9770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,9770) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,9770) x common factors =1 x 1 = 1
LCM(893,9770) = ( 893 × 9770 ) / 1
LCM(893,9770) = 8724610 / 1
LCM(893,9770) = 8724610
Lets's calculate GCF of 576,4790
2 | 576, 4790 |
288, 2395 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8724610/2
Therefore the LCM of Fractions 893/576,9770/4790 is 4362305
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Factors of 4790
List of positive integer factors of 4790 that divides 4790 without a remainder.
1,2,5,10,479,958,2395,4790
Greatest Common Factor
We found the factors 576,4790 . The biggest common factor number is the GCF number.
So the greatest common factor 576,4790 is 2.
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 893/576, 9770/4790?
Answer: LCM of Numerators as per given numbers 893/576, 9770/4790 is
LCM of Numerators i.e. for 893,9770 is 8724610
GCF of denominators i.e. for 576,4790 is 2.
Thus, LCM of Fractions is 4362305.Finally, LCM of Fractions for 893/576, 9770/4790 is 4362305.