Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/307, 66/294, 137/485 quickly i.e. 171798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/307, 66/294, 137/485 is 171798.
LCM(19/307, 66/294, 137/485) = 171798
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/307,66/294,137/485
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 19,66,137
Least Common Multiple of Numerators i.e. LCM of 19,66,137 is 171798.
GCF of Denominators means GCF of 307,294,485 as per the given fractions.
GCF of 307,294,485 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,66,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 171798
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 19,66,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,66,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,66,137) x common factors =1 x 1 = 1
LCM(19,66,137) = ( 19 × 66 × 137 ) / 1
LCM(19,66,137) = 171798 / 1
LCM(19,66,137) = 171798
Lets's calculate GCF of 307,294,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171798/1
Therefore the LCM of Fractions 19/307,66/294,137/485 is 171798
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 307,294,485 . The biggest common factor number is the GCF number.
So the greatest common factor 307,294,485 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 19/307, 66/294, 137/485?
Answer: LCM of Numerators as per given numbers 19/307, 66/294, 137/485 is
LCM of Numerators i.e. for 19,66,137 is 171798
GCF of denominators i.e. for 307,294,485 is 1.
Thus, LCM of Fractions is 171798.Finally, LCM of Fractions for 19/307, 66/294, 137/485 is 171798.