Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/683, 101/820, 627/319 quickly i.e. 2976369 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/683, 101/820, 627/319 is 2976369.
LCM(47/683, 101/820, 627/319) = 2976369
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/683,101/820,627/319
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 47,101,627
Least Common Multiple of Numerators i.e. LCM of 47,101,627 is 2976369.
GCF of Denominators means GCF of 683,820,319 as per the given fractions.
GCF of 683,820,319 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,101,627
Given numbers has no common factors except 1. So, there LCM is their product i.e 2976369
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 47,101,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,101,627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,101,627) x common factors =1 x 1 = 1
LCM(47,101,627) = ( 47 × 101 × 627 ) / 1
LCM(47,101,627) = 2976369 / 1
LCM(47,101,627) = 2976369
Lets's calculate GCF of 683,820,319
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2976369/1
Therefore the LCM of Fractions 47/683,101/820,627/319 is 2976369
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Greatest Common Factor
We found the factors 683,820,319 . The biggest common factor number is the GCF number.
So the greatest common factor 683,820,319 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 47/683, 101/820, 627/319?
Answer: LCM of Numerators as per given numbers 47/683, 101/820, 627/319 is
LCM of Numerators i.e. for 47,101,627 is 2976369
GCF of denominators i.e. for 683,820,319 is 1.
Thus, LCM of Fractions is 2976369.Finally, LCM of Fractions for 47/683, 101/820, 627/319 is 2976369.