Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/65, 58/14, 43/174 quickly i.e. 112230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/65, 58/14, 43/174 is 112230.
LCM(45/65, 58/14, 43/174) = 112230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/65,58/14,43/174
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 45,58,43
Least Common Multiple of Numerators i.e. LCM of 45,58,43 is 112230.
GCF of Denominators means GCF of 65,14,174 as per the given fractions.
GCF of 65,14,174 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,58,43
Given numbers has no common factors except 1. So, there LCM is their product i.e 112230
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 45,58,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,58,43) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,58,43) x common factors =1 x 1 = 1
LCM(45,58,43) = ( 45 × 58 × 43 ) / 1
LCM(45,58,43) = 112230 / 1
LCM(45,58,43) = 112230
Lets's calculate GCF of 65,14,174
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112230/1
Therefore the LCM of Fractions 45/65,58/14,43/174 is 112230
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Greatest Common Factor
We found the factors 65,14,174 . The biggest common factor number is the GCF number.
So the greatest common factor 65,14,174 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 45/65, 58/14, 43/174?
Answer: LCM of Numerators as per given numbers 45/65, 58/14, 43/174 is
LCM of Numerators i.e. for 45,58,43 is 112230
GCF of denominators i.e. for 65,14,174 is 1.
Thus, LCM of Fractions is 112230.Finally, LCM of Fractions for 45/65, 58/14, 43/174 is 112230.