Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/202, 1697/1182 quickly i.e. 45819/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/202, 1697/1182 is 45819/2.
LCM(27/202, 1697/1182) = 45819/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/202,1697/1182
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 27,1697
Least Common Multiple of Numerators i.e. LCM of 27,1697 is 45819.
GCF of Denominators means GCF of 202,1182 as per the given fractions.
GCF of 202,1182 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,1697
Given numbers has no common factors except 1. So, there LCM is their product i.e 45819
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 27,1697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,1697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,1697) x common factors =1 x 1 = 1
LCM(27,1697) = ( 27 × 1697 ) / 1
LCM(27,1697) = 45819 / 1
LCM(27,1697) = 45819
Lets's calculate GCF of 202,1182
2 | 202, 1182 |
101, 591 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45819/2
Therefore the LCM of Fractions 27/202,1697/1182 is 45819/2
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 1182
List of positive integer factors of 1182 that divides 1182 without a remainder.
1,2,3,6,197,394,591,1182
Greatest Common Factor
We found the factors 202,1182 . The biggest common factor number is the GCF number.
So the greatest common factor 202,1182 is 2.
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 27/202, 1697/1182?
Answer: LCM of Numerators as per given numbers 27/202, 1697/1182 is
LCM of Numerators i.e. for 27,1697 is 45819
GCF of denominators i.e. for 202,1182 is 2.
Thus, LCM of Fractions is 45819/2.Finally, LCM of Fractions for 27/202, 1697/1182 is 45819/2.