Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4752/680, 4763/7553 quickly i.e. 2057616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4752/680, 4763/7553 is 2057616.
LCM(4752/680, 4763/7553) = 2057616
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4752/680,4763/7553
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 4752,4763
Least Common Multiple of Numerators i.e. LCM of 4752,4763 is 2057616.
GCF of Denominators means GCF of 680,7553 as per the given fractions.
GCF of 680,7553 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4752,4763
11 | 4752, 4763 |
432, 433 |
∴ So the LCM of the given numbers is 11 x 432 x 433 = 2057616
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 4752,4763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4752,4763) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(4752,4763) x common factors =11 x 1 = 11
LCM(4752,4763) = ( 4752 × 4763 ) / 11
LCM(4752,4763) = 22633776 / 11
LCM(4752,4763) = 2057616
Lets's calculate GCF of 680,7553
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2057616/1
Therefore the LCM of Fractions 4752/680,4763/7553 is 2057616
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Factors of 7553
List of positive integer factors of 7553 that divides 7553 without a remainder.
1,7,13,83,91,581,1079,7553
Greatest Common Factor
We found the factors 680,7553 . The biggest common factor number is the GCF number.
So the greatest common factor 680,7553 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 4752/680, 4763/7553?
Answer: LCM of Numerators as per given numbers 4752/680, 4763/7553 is
LCM of Numerators i.e. for 4752,4763 is 2057616
GCF of denominators i.e. for 680,7553 is 1.
Thus, LCM of Fractions is 2057616.Finally, LCM of Fractions for 4752/680, 4763/7553 is 2057616.