Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/309, 1783/7693 quickly i.e. 117678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/309, 1783/7693 is 117678.
LCM(66/309, 1783/7693) = 117678
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/309,1783/7693
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 66,1783
Least Common Multiple of Numerators i.e. LCM of 66,1783 is 117678.
GCF of Denominators means GCF of 309,7693 as per the given fractions.
GCF of 309,7693 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,1783
Given numbers has no common factors except 1. So, there LCM is their product i.e 117678
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 66,1783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,1783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,1783) x common factors =1 x 1 = 1
LCM(66,1783) = ( 66 × 1783 ) / 1
LCM(66,1783) = 117678 / 1
LCM(66,1783) = 117678
Lets's calculate GCF of 309,7693
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117678/1
Therefore the LCM of Fractions 66/309,1783/7693 is 117678
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Factors of 7693
List of positive integer factors of 7693 that divides 7693 without a remainder.
1,7,49,157,1099,7693
Greatest Common Factor
We found the factors 309,7693 . The biggest common factor number is the GCF number.
So the greatest common factor 309,7693 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 66/309, 1783/7693?
Answer: LCM of Numerators as per given numbers 66/309, 1783/7693 is
LCM of Numerators i.e. for 66,1783 is 117678
GCF of denominators i.e. for 309,7693 is 1.
Thus, LCM of Fractions is 117678.Finally, LCM of Fractions for 66/309, 1783/7693 is 117678.