Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7683/773, 7572/9032 quickly i.e. 19391892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7683/773, 7572/9032 is 19391892.
LCM(7683/773, 7572/9032) = 19391892
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7683/773,7572/9032
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 7683,7572
Least Common Multiple of Numerators i.e. LCM of 7683,7572 is 19391892.
GCF of Denominators means GCF of 773,9032 as per the given fractions.
GCF of 773,9032 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7683,7572
3 | 7683, 7572 |
2561, 2524 |
∴ So the LCM of the given numbers is 3 x 2561 x 2524 = 19391892
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 7683,7572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7683,7572) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7683,7572) x common factors =3 x 1 = 3
LCM(7683,7572) = ( 7683 × 7572 ) / 3
LCM(7683,7572) = 58175676 / 3
LCM(7683,7572) = 19391892
Lets's calculate GCF of 773,9032
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19391892/1
Therefore the LCM of Fractions 7683/773,7572/9032 is 19391892
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Factors of 9032
List of positive integer factors of 9032 that divides 9032 without a remainder.
1,2,4,8,1129,2258,4516,9032
Greatest Common Factor
We found the factors 773,9032 . The biggest common factor number is the GCF number.
So the greatest common factor 773,9032 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 7683/773, 7572/9032?
Answer: LCM of Numerators as per given numbers 7683/773, 7572/9032 is
LCM of Numerators i.e. for 7683,7572 is 19391892
GCF of denominators i.e. for 773,9032 is 1.
Thus, LCM of Fractions is 19391892.Finally, LCM of Fractions for 7683/773, 7572/9032 is 19391892.