Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 305/799, 1566/597 quickly i.e. 477630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 305/799, 1566/597 is 477630.
LCM(305/799, 1566/597) = 477630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 305/799,1566/597
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 305,1566
Least Common Multiple of Numerators i.e. LCM of 305,1566 is 477630.
GCF of Denominators means GCF of 799,597 as per the given fractions.
GCF of 799,597 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 305,1566
Given numbers has no common factors except 1. So, there LCM is their product i.e 477630
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 305,1566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,1566) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,1566) x common factors =1 x 1 = 1
LCM(305,1566) = ( 305 × 1566 ) / 1
LCM(305,1566) = 477630 / 1
LCM(305,1566) = 477630
Lets's calculate GCF of 799,597
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 477630/1
Therefore the LCM of Fractions 305/799,1566/597 is 477630
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Greatest Common Factor
We found the factors 799,597 . The biggest common factor number is the GCF number.
So the greatest common factor 799,597 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 305/799, 1566/597?
Answer: LCM of Numerators as per given numbers 305/799, 1566/597 is
LCM of Numerators i.e. for 305,1566 is 477630
GCF of denominators i.e. for 799,597 is 1.
Thus, LCM of Fractions is 477630.Finally, LCM of Fractions for 305/799, 1566/597 is 477630.