Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/483, 82/727, 683/334 quickly i.e. 1176126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/483, 82/727, 683/334 is 1176126.
LCM(21/483, 82/727, 683/334) = 1176126
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/483,82/727,683/334
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 21,82,683
Least Common Multiple of Numerators i.e. LCM of 21,82,683 is 1176126.
GCF of Denominators means GCF of 483,727,334 as per the given fractions.
GCF of 483,727,334 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,82,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 1176126
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 21,82,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,82,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,82,683) x common factors =1 x 1 = 1
LCM(21,82,683) = ( 21 × 82 × 683 ) / 1
LCM(21,82,683) = 1176126 / 1
LCM(21,82,683) = 1176126
Lets's calculate GCF of 483,727,334
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1176126/1
Therefore the LCM of Fractions 21/483,82/727,683/334 is 1176126
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 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Greatest Common Factor
We found the factors 483,727,334 . The biggest common factor number is the GCF number.
So the greatest common factor 483,727,334 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 21/483, 82/727, 683/334?
Answer: LCM of Numerators as per given numbers 21/483, 82/727, 683/334 is
LCM of Numerators i.e. for 21,82,683 is 1176126
GCF of denominators i.e. for 483,727,334 is 1.
Thus, LCM of Fractions is 1176126.Finally, LCM of Fractions for 21/483, 82/727, 683/334 is 1176126.