Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1383/483, 5691/763 quickly i.e. 374793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1383/483, 5691/763 is 374793.
LCM(1383/483, 5691/763) = 374793
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1383/483,5691/763
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 1383,5691
Least Common Multiple of Numerators i.e. LCM of 1383,5691 is 2623551.
GCF of Denominators means GCF of 483,763 as per the given fractions.
GCF of 483,763 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1383,5691
3 | 1383, 5691 |
461, 1897 |
∴ So the LCM of the given numbers is 3 x 461 x 1897 = 2623551
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 1383,5691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1383,5691) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(1383,5691) x common factors =3 x 1 = 3
LCM(1383,5691) = ( 1383 × 5691 ) / 3
LCM(1383,5691) = 7870653 / 3
LCM(1383,5691) = 2623551
Lets's calculate GCF of 483,763
7 | 483, 763 |
69, 109 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2623551/7
Therefore the LCM of Fractions 1383/483,5691/763 is 374793
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Greatest Common Factor
We found the factors 483,763 . The biggest common factor number is the GCF number.
So the greatest common factor 483,763 is 7.
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 1383/483, 5691/763?
Answer: LCM of Numerators as per given numbers 1383/483, 5691/763 is
LCM of Numerators i.e. for 1383,5691 is 2623551
GCF of denominators i.e. for 483,763 is 7.
Thus, LCM of Fractions is 374793.Finally, LCM of Fractions for 1383/483, 5691/763 is 374793.