Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 193/427, 114/545 quickly i.e. 22002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 193/427, 114/545 is 22002.
LCM(193/427, 114/545) = 22002
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 193/427,114/545
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 193,114
Least Common Multiple of Numerators i.e. LCM of 193,114 is 22002.
GCF of Denominators means GCF of 427,545 as per the given fractions.
GCF of 427,545 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 193,114
Given numbers has no common factors except 1. So, there LCM is their product i.e 22002
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 193,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,114) x common factors =1 x 1 = 1
LCM(193,114) = ( 193 × 114 ) / 1
LCM(193,114) = 22002 / 1
LCM(193,114) = 22002
Lets's calculate GCF of 427,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22002/1
Therefore the LCM of Fractions 193/427,114/545 is 22002
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 427,545 . The biggest common factor number is the GCF number.
So the greatest common factor 427,545 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 193/427, 114/545?
Answer: LCM of Numerators as per given numbers 193/427, 114/545 is
LCM of Numerators i.e. for 193,114 is 22002
GCF of denominators i.e. for 427,545 is 1.
Thus, LCM of Fractions is 22002.Finally, LCM of Fractions for 193/427, 114/545 is 22002.